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Simplifying 10 + 5x = 3(-1x + 5) + -29 Reorder the terms: 10 + 5x = 3(5 + -1x) + -29 10 + 5x = (5 * 3 + -1x * 3) + -29 10 + 5x = (15 + -3x) + -29 Reorder the terms: 10 + 5x = 15 + -29 + -3x Combine like terms: 15 + -29 = -14 10 + 5x = -14 + -3x Solving 10 + 5x = -14 + -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. 10 + 5x + 3x = -14 + -3x + 3x Combine like terms: 5x + 3x = 8x 10 + 8x = -14 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 8x = -14 + 0 10 + 8x = -14 Add '-10' to each side of the equation. 10 + -10 + 8x = -14 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = -14 + -10 8x = -14 + -10 Combine like terms: -14 + -10 = -24 8x = -24 Divide each side by '8'. x = -3 Simplifying x = -3
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