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Simplifying 9 + 2(x + -4) = 3(x + 7) Reorder the terms: 9 + 2(-4 + x) = 3(x + 7) 9 + (-4 * 2 + x * 2) = 3(x + 7) 9 + (-8 + 2x) = 3(x + 7) Combine like terms: 9 + -8 = 1 1 + 2x = 3(x + 7) Reorder the terms: 1 + 2x = 3(7 + x) 1 + 2x = (7 * 3 + x * 3) 1 + 2x = (21 + 3x) Solving 1 + 2x = 21 + 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. 1 + 2x + -3x = 21 + 3x + -3x Combine like terms: 2x + -3x = -1x 1 + -1x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + -1x = 21 + 0 1 + -1x = 21 Add '-1' to each side of the equation. 1 + -1 + -1x = 21 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 21 + -1 -1x = 21 + -1 Combine like terms: 21 + -1 = 20 -1x = 20 Divide each side by '-1'. x = -20 Simplifying x = -20
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