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Simplifying 5(14 + -1x) = -3(x + -24) + 10 (14 * 5 + -1x * 5) = -3(x + -24) + 10 (70 + -5x) = -3(x + -24) + 10 Reorder the terms: 70 + -5x = -3(-24 + x) + 10 70 + -5x = (-24 * -3 + x * -3) + 10 70 + -5x = (72 + -3x) + 10 Reorder the terms: 70 + -5x = 72 + 10 + -3x Combine like terms: 72 + 10 = 82 70 + -5x = 82 + -3x Solving 70 + -5x = 82 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 70 + -5x + 3x = 82 + -3x + 3x Combine like terms: -5x + 3x = -2x 70 + -2x = 82 + -3x + 3x Combine like terms: -3x + 3x = 0 70 + -2x = 82 + 0 70 + -2x = 82 Add '-70' to each side of the equation. 70 + -70 + -2x = 82 + -70 Combine like terms: 70 + -70 = 0 0 + -2x = 82 + -70 -2x = 82 + -70 Combine like terms: 82 + -70 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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