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Simplifying 5(3 + -2x) = 2(x + -7) (3 * 5 + -2x * 5) = 2(x + -7) (15 + -10x) = 2(x + -7) Reorder the terms: 15 + -10x = 2(-7 + x) 15 + -10x = (-7 * 2 + x * 2) 15 + -10x = (-14 + 2x) Solving 15 + -10x = -14 + 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. 15 + -10x + -2x = -14 + 2x + -2x Combine like terms: -10x + -2x = -12x 15 + -12x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + -12x = -14 + 0 15 + -12x = -14 Add '-15' to each side of the equation. 15 + -15 + -12x = -14 + -15 Combine like terms: 15 + -15 = 0 0 + -12x = -14 + -15 -12x = -14 + -15 Combine like terms: -14 + -15 = -29 -12x = -29 Divide each side by '-12'. x = 2.416666667 Simplifying x = 2.416666667
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