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Simplifying 7(x + 8) + 2(x + -4) = 12 Reorder the terms: 7(8 + x) + 2(x + -4) = 12 (8 * 7 + x * 7) + 2(x + -4) = 12 (56 + 7x) + 2(x + -4) = 12 Reorder the terms: 56 + 7x + 2(-4 + x) = 12 56 + 7x + (-4 * 2 + x * 2) = 12 56 + 7x + (-8 + 2x) = 12 Reorder the terms: 56 + -8 + 7x + 2x = 12 Combine like terms: 56 + -8 = 48 48 + 7x + 2x = 12 Combine like terms: 7x + 2x = 9x 48 + 9x = 12 Solving 48 + 9x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 9x = 12 + -48 Combine like terms: 48 + -48 = 0 0 + 9x = 12 + -48 9x = 12 + -48 Combine like terms: 12 + -48 = -36 9x = -36 Divide each side by '9'. x = -4 Simplifying x = -4
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