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Simplifying -6(x + -2) + 3 = 9 + -1(x + 4) Reorder the terms: -6(-2 + x) + 3 = 9 + -1(x + 4) (-2 * -6 + x * -6) + 3 = 9 + -1(x + 4) (12 + -6x) + 3 = 9 + -1(x + 4) Reorder the terms: 12 + 3 + -6x = 9 + -1(x + 4) Combine like terms: 12 + 3 = 15 15 + -6x = 9 + -1(x + 4) Reorder the terms: 15 + -6x = 9 + -1(4 + x) 15 + -6x = 9 + (4 * -1 + x * -1) 15 + -6x = 9 + (-4 + -1x) Combine like terms: 9 + -4 = 5 15 + -6x = 5 + -1x Solving 15 + -6x = 5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 15 + -6x + x = 5 + -1x + x Combine like terms: -6x + x = -5x 15 + -5x = 5 + -1x + x Combine like terms: -1x + x = 0 15 + -5x = 5 + 0 15 + -5x = 5 Add '-15' to each side of the equation. 15 + -15 + -5x = 5 + -15 Combine like terms: 15 + -15 = 0 0 + -5x = 5 + -15 -5x = 5 + -15 Combine like terms: 5 + -15 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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