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Simplifying 6 = 3(x + 4) + -1(2x + -6) Reorder the terms: 6 = 3(4 + x) + -1(2x + -6) 6 = (4 * 3 + x * 3) + -1(2x + -6) 6 = (12 + 3x) + -1(2x + -6) Reorder the terms: 6 = 12 + 3x + -1(-6 + 2x) 6 = 12 + 3x + (-6 * -1 + 2x * -1) 6 = 12 + 3x + (6 + -2x) Reorder the terms: 6 = 12 + 6 + 3x + -2x Combine like terms: 12 + 6 = 18 6 = 18 + 3x + -2x Combine like terms: 3x + -2x = 1x 6 = 18 + 1x Solving 6 = 18 + 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. 6 + -1x = 18 + 1x + -1x Combine like terms: 1x + -1x = 0 6 + -1x = 18 + 0 6 + -1x = 18 Add '-6' to each side of the equation. 6 + -6 + -1x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 18 + -6 -1x = 18 + -6 Combine like terms: 18 + -6 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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