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Simplifying -3(2x + 1) + 5 = -1(4x + -9) + 5x Reorder the terms: -3(1 + 2x) + 5 = -1(4x + -9) + 5x (1 * -3 + 2x * -3) + 5 = -1(4x + -9) + 5x (-3 + -6x) + 5 = -1(4x + -9) + 5x Reorder the terms: -3 + 5 + -6x = -1(4x + -9) + 5x Combine like terms: -3 + 5 = 2 2 + -6x = -1(4x + -9) + 5x Reorder the terms: 2 + -6x = -1(-9 + 4x) + 5x 2 + -6x = (-9 * -1 + 4x * -1) + 5x 2 + -6x = (9 + -4x) + 5x Combine like terms: -4x + 5x = 1x 2 + -6x = 9 + 1x Solving 2 + -6x = 9 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 2 + -6x + -1x = 9 + 1x + -1x Combine like terms: -6x + -1x = -7x 2 + -7x = 9 + 1x + -1x Combine like terms: 1x + -1x = 0 2 + -7x = 9 + 0 2 + -7x = 9 Add '-2' to each side of the equation. 2 + -2 + -7x = 9 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 9 + -2 -7x = 9 + -2 Combine like terms: 9 + -2 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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