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Simplifying 4(x + -2) + -1(5x + -9) = 3(5x + -1) + -12 Reorder the terms: 4(-2 + x) + -1(5x + -9) = 3(5x + -1) + -12 (-2 * 4 + x * 4) + -1(5x + -9) = 3(5x + -1) + -12 (-8 + 4x) + -1(5x + -9) = 3(5x + -1) + -12 Reorder the terms: -8 + 4x + -1(-9 + 5x) = 3(5x + -1) + -12 -8 + 4x + (-9 * -1 + 5x * -1) = 3(5x + -1) + -12 -8 + 4x + (9 + -5x) = 3(5x + -1) + -12 Reorder the terms: -8 + 9 + 4x + -5x = 3(5x + -1) + -12 Combine like terms: -8 + 9 = 1 1 + 4x + -5x = 3(5x + -1) + -12 Combine like terms: 4x + -5x = -1x 1 + -1x = 3(5x + -1) + -12 Reorder the terms: 1 + -1x = 3(-1 + 5x) + -12 1 + -1x = (-1 * 3 + 5x * 3) + -12 1 + -1x = (-3 + 15x) + -12 Reorder the terms: 1 + -1x = -3 + -12 + 15x Combine like terms: -3 + -12 = -15 1 + -1x = -15 + 15x Solving 1 + -1x = -15 + 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. 1 + -1x + -15x = -15 + 15x + -15x Combine like terms: -1x + -15x = -16x 1 + -16x = -15 + 15x + -15x Combine like terms: 15x + -15x = 0 1 + -16x = -15 + 0 1 + -16x = -15 Add '-1' to each side of the equation. 1 + -1 + -16x = -15 + -1 Combine like terms: 1 + -1 = 0 0 + -16x = -15 + -1 -16x = -15 + -1 Combine like terms: -15 + -1 = -16 -16x = -16 Divide each side by '-16'. x = 1 Simplifying x = 1
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