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Simplifying 5(4x + -3) + -2(2x + -16) = 5(3x + 4) Reorder the terms: 5(-3 + 4x) + -2(2x + -16) = 5(3x + 4) (-3 * 5 + 4x * 5) + -2(2x + -16) = 5(3x + 4) (-15 + 20x) + -2(2x + -16) = 5(3x + 4) Reorder the terms: -15 + 20x + -2(-16 + 2x) = 5(3x + 4) -15 + 20x + (-16 * -2 + 2x * -2) = 5(3x + 4) -15 + 20x + (32 + -4x) = 5(3x + 4) Reorder the terms: -15 + 32 + 20x + -4x = 5(3x + 4) Combine like terms: -15 + 32 = 17 17 + 20x + -4x = 5(3x + 4) Combine like terms: 20x + -4x = 16x 17 + 16x = 5(3x + 4) Reorder the terms: 17 + 16x = 5(4 + 3x) 17 + 16x = (4 * 5 + 3x * 5) 17 + 16x = (20 + 15x) Solving 17 + 16x = 20 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 17 + 16x + -15x = 20 + 15x + -15x Combine like terms: 16x + -15x = 1x 17 + 1x = 20 + 15x + -15x Combine like terms: 15x + -15x = 0 17 + 1x = 20 + 0 17 + 1x = 20 Add '-17' to each side of the equation. 17 + -17 + 1x = 20 + -17 Combine like terms: 17 + -17 = 0 0 + 1x = 20 + -17 1x = 20 + -17 Combine like terms: 20 + -17 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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