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Simplifying 3 = -6(x + -2) + 9(x + -3) Reorder the terms: 3 = -6(-2 + x) + 9(x + -3) 3 = (-2 * -6 + x * -6) + 9(x + -3) 3 = (12 + -6x) + 9(x + -3) Reorder the terms: 3 = 12 + -6x + 9(-3 + x) 3 = 12 + -6x + (-3 * 9 + x * 9) 3 = 12 + -6x + (-27 + 9x) Reorder the terms: 3 = 12 + -27 + -6x + 9x Combine like terms: 12 + -27 = -15 3 = -15 + -6x + 9x Combine like terms: -6x + 9x = 3x 3 = -15 + 3x Solving 3 = -15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 3 + -3x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + -3x = -15 + 0 3 + -3x = -15 Add '-3' to each side of the equation. 3 + -3 + -3x = -15 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = -15 + -3 -3x = -15 + -3 Combine like terms: -15 + -3 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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