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Simplifying -10 + 3(x + -7) = 2(x + 4) Reorder the terms: -10 + 3(-7 + x) = 2(x + 4) -10 + (-7 * 3 + x * 3) = 2(x + 4) -10 + (-21 + 3x) = 2(x + 4) Combine like terms: -10 + -21 = -31 -31 + 3x = 2(x + 4) Reorder the terms: -31 + 3x = 2(4 + x) -31 + 3x = (4 * 2 + x * 2) -31 + 3x = (8 + 2x) Solving -31 + 3x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -31 + 3x + -2x = 8 + 2x + -2x Combine like terms: 3x + -2x = 1x -31 + 1x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -31 + 1x = 8 + 0 -31 + 1x = 8 Add '31' to each side of the equation. -31 + 31 + 1x = 8 + 31 Combine like terms: -31 + 31 = 0 0 + 1x = 8 + 31 1x = 8 + 31 Combine like terms: 8 + 31 = 39 1x = 39 Divide each side by '1'. x = 39 Simplifying x = 39
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