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Simplifying 5 + 2(12 + -1x) = 2x + -7 5 + (12 * 2 + -1x * 2) = 2x + -7 5 + (24 + -2x) = 2x + -7 Combine like terms: 5 + 24 = 29 29 + -2x = 2x + -7 Reorder the terms: 29 + -2x = -7 + 2x Solving 29 + -2x = -7 + 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. 29 + -2x + -2x = -7 + 2x + -2x Combine like terms: -2x + -2x = -4x 29 + -4x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 29 + -4x = -7 + 0 29 + -4x = -7 Add '-29' to each side of the equation. 29 + -29 + -4x = -7 + -29 Combine like terms: 29 + -29 = 0 0 + -4x = -7 + -29 -4x = -7 + -29 Combine like terms: -7 + -29 = -36 -4x = -36 Divide each side by '-4'. x = 9 Simplifying x = 9
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