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Simplifying 66 + -1(3x + 14) = -3(x + 8) + x Reorder the terms: 66 + -1(14 + 3x) = -3(x + 8) + x 66 + (14 * -1 + 3x * -1) = -3(x + 8) + x 66 + (-14 + -3x) = -3(x + 8) + x Combine like terms: 66 + -14 = 52 52 + -3x = -3(x + 8) + x Reorder the terms: 52 + -3x = -3(8 + x) + x 52 + -3x = (8 * -3 + x * -3) + x 52 + -3x = (-24 + -3x) + x Combine like terms: -3x + x = -2x 52 + -3x = -24 + -2x Solving 52 + -3x = -24 + -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. 52 + -3x + 2x = -24 + -2x + 2x Combine like terms: -3x + 2x = -1x 52 + -1x = -24 + -2x + 2x Combine like terms: -2x + 2x = 0 52 + -1x = -24 + 0 52 + -1x = -24 Add '-52' to each side of the equation. 52 + -52 + -1x = -24 + -52 Combine like terms: 52 + -52 = 0 0 + -1x = -24 + -52 -1x = -24 + -52 Combine like terms: -24 + -52 = -76 -1x = -76 Divide each side by '-1'. x = 76 Simplifying x = 76
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