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Simplifying 3(-4x + 5) = (-3x + 7) + 10 Reorder the terms: 3(5 + -4x) = (-3x + 7) + 10 (5 * 3 + -4x * 3) = (-3x + 7) + 10 (15 + -12x) = (-3x + 7) + 10 Reorder the terms: 15 + -12x = (7 + -3x) + 10 Remove parenthesis around (7 + -3x) 15 + -12x = 7 + -3x + 10 Reorder the terms: 15 + -12x = 7 + 10 + -3x Combine like terms: 7 + 10 = 17 15 + -12x = 17 + -3x Solving 15 + -12x = 17 + -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. 15 + -12x + 3x = 17 + -3x + 3x Combine like terms: -12x + 3x = -9x 15 + -9x = 17 + -3x + 3x Combine like terms: -3x + 3x = 0 15 + -9x = 17 + 0 15 + -9x = 17 Add '-15' to each side of the equation. 15 + -15 + -9x = 17 + -15 Combine like terms: 15 + -15 = 0 0 + -9x = 17 + -15 -9x = 17 + -15 Combine like terms: 17 + -15 = 2 -9x = 2 Divide each side by '-9'. x = -0.2222222222 Simplifying x = -0.2222222222
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