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Simplifying 7 + -1(2x + 6) = 0.5(2x + -24) + -2 Reorder the terms: 7 + -1(6 + 2x) = 0.5(2x + -24) + -2 7 + (6 * -1 + 2x * -1) = 0.5(2x + -24) + -2 7 + (-6 + -2x) = 0.5(2x + -24) + -2 Combine like terms: 7 + -6 = 1 1 + -2x = 0.5(2x + -24) + -2 Reorder the terms: 1 + -2x = 0.5(-24 + 2x) + -2 1 + -2x = (-24 * 0.5 + 2x * 0.5) + -2 1 + -2x = (-12 + 1x) + -2 Reorder the terms: 1 + -2x = -12 + -2 + 1x Combine like terms: -12 + -2 = -14 1 + -2x = -14 + 1x Solving 1 + -2x = -14 + 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. 1 + -2x + -1x = -14 + 1x + -1x Combine like terms: -2x + -1x = -3x 1 + -3x = -14 + 1x + -1x Combine like terms: 1x + -1x = 0 1 + -3x = -14 + 0 1 + -3x = -14 Add '-1' to each side of the equation. 1 + -1 + -3x = -14 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = -14 + -1 -3x = -14 + -1 Combine like terms: -14 + -1 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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