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Simplifying -3(2x + 1) + 5 = -1(4x + -9) + 5 Reorder the terms: -3(1 + 2x) + 5 = -1(4x + -9) + 5 (1 * -3 + 2x * -3) + 5 = -1(4x + -9) + 5 (-3 + -6x) + 5 = -1(4x + -9) + 5 Reorder the terms: -3 + 5 + -6x = -1(4x + -9) + 5 Combine like terms: -3 + 5 = 2 2 + -6x = -1(4x + -9) + 5 Reorder the terms: 2 + -6x = -1(-9 + 4x) + 5 2 + -6x = (-9 * -1 + 4x * -1) + 5 2 + -6x = (9 + -4x) + 5 Reorder the terms: 2 + -6x = 9 + 5 + -4x Combine like terms: 9 + 5 = 14 2 + -6x = 14 + -4x Solving 2 + -6x = 14 + -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. 2 + -6x + 4x = 14 + -4x + 4x Combine like terms: -6x + 4x = -2x 2 + -2x = 14 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + -2x = 14 + 0 2 + -2x = 14 Add '-2' to each side of the equation. 2 + -2 + -2x = 14 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 14 + -2 -2x = 14 + -2 Combine like terms: 14 + -2 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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