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Simplifying 4(2x + -5) + (3x + -5) * 8 = 5(4x + -3) + -1(2x + -3) * 3 Reorder the terms: 4(-5 + 2x) + (3x + -5) * 8 = 5(4x + -3) + -1(2x + -3) * 3 (-5 * 4 + 2x * 4) + (3x + -5) * 8 = 5(4x + -3) + -1(2x + -3) * 3 (-20 + 8x) + (3x + -5) * 8 = 5(4x + -3) + -1(2x + -3) * 3 Reorder the terms: -20 + 8x + (-5 + 3x) * 8 = 5(4x + -3) + -1(2x + -3) * 3 Reorder the terms for easier multiplication: -20 + 8x + 8(-5 + 3x) = 5(4x + -3) + -1(2x + -3) * 3 -20 + 8x + (-5 * 8 + 3x * 8) = 5(4x + -3) + -1(2x + -3) * 3 -20 + 8x + (-40 + 24x) = 5(4x + -3) + -1(2x + -3) * 3 Reorder the terms: -20 + -40 + 8x + 24x = 5(4x + -3) + -1(2x + -3) * 3 Combine like terms: -20 + -40 = -60 -60 + 8x + 24x = 5(4x + -3) + -1(2x + -3) * 3 Combine like terms: 8x + 24x = 32x -60 + 32x = 5(4x + -3) + -1(2x + -3) * 3 Reorder the terms: -60 + 32x = 5(-3 + 4x) + -1(2x + -3) * 3 -60 + 32x = (-3 * 5 + 4x * 5) + -1(2x + -3) * 3 -60 + 32x = (-15 + 20x) + -1(2x + -3) * 3 Reorder the terms: -60 + 32x = -15 + 20x + -1(-3 + 2x) * 3 Reorder the terms for easier multiplication: -60 + 32x = -15 + 20x + -1 * 3(-3 + 2x) Multiply -1 * 3 -60 + 32x = -15 + 20x + -3(-3 + 2x) -60 + 32x = -15 + 20x + (-3 * -3 + 2x * -3) -60 + 32x = -15 + 20x + (9 + -6x) Reorder the terms: -60 + 32x = -15 + 9 + 20x + -6x Combine like terms: -15 + 9 = -6 -60 + 32x = -6 + 20x + -6x Combine like terms: 20x + -6x = 14x -60 + 32x = -6 + 14x Solving -60 + 32x = -6 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -60 + 32x + -14x = -6 + 14x + -14x Combine like terms: 32x + -14x = 18x -60 + 18x = -6 + 14x + -14x Combine like terms: 14x + -14x = 0 -60 + 18x = -6 + 0 -60 + 18x = -6 Add '60' to each side of the equation. -60 + 60 + 18x = -6 + 60 Combine like terms: -60 + 60 = 0 0 + 18x = -6 + 60 18x = -6 + 60 Combine like terms: -6 + 60 = 54 18x = 54 Divide each side by '18'. x = 3 Simplifying x = 3
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