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Simplifying 4(5x + -5) + -5(3x + -12) = 2(2x + 1) + -1 Reorder the terms: 4(-5 + 5x) + -5(3x + -12) = 2(2x + 1) + -1 (-5 * 4 + 5x * 4) + -5(3x + -12) = 2(2x + 1) + -1 (-20 + 20x) + -5(3x + -12) = 2(2x + 1) + -1 Reorder the terms: -20 + 20x + -5(-12 + 3x) = 2(2x + 1) + -1 -20 + 20x + (-12 * -5 + 3x * -5) = 2(2x + 1) + -1 -20 + 20x + (60 + -15x) = 2(2x + 1) + -1 Reorder the terms: -20 + 60 + 20x + -15x = 2(2x + 1) + -1 Combine like terms: -20 + 60 = 40 40 + 20x + -15x = 2(2x + 1) + -1 Combine like terms: 20x + -15x = 5x 40 + 5x = 2(2x + 1) + -1 Reorder the terms: 40 + 5x = 2(1 + 2x) + -1 40 + 5x = (1 * 2 + 2x * 2) + -1 40 + 5x = (2 + 4x) + -1 Reorder the terms: 40 + 5x = 2 + -1 + 4x Combine like terms: 2 + -1 = 1 40 + 5x = 1 + 4x Solving 40 + 5x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 40 + 5x + -4x = 1 + 4x + -4x Combine like terms: 5x + -4x = 1x 40 + 1x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 40 + 1x = 1 + 0 40 + 1x = 1 Add '-40' to each side of the equation. 40 + -40 + 1x = 1 + -40 Combine like terms: 40 + -40 = 0 0 + 1x = 1 + -40 1x = 1 + -40 Combine like terms: 1 + -40 = -39 1x = -39 Divide each side by '1'. x = -39 Simplifying x = -39
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