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Simplifying 2(5x + 2) = -3(x + -7) Reorder the terms: 2(2 + 5x) = -3(x + -7) (2 * 2 + 5x * 2) = -3(x + -7) (4 + 10x) = -3(x + -7) Reorder the terms: 4 + 10x = -3(-7 + x) 4 + 10x = (-7 * -3 + x * -3) 4 + 10x = (21 + -3x) Solving 4 + 10x = 21 + -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. 4 + 10x + 3x = 21 + -3x + 3x Combine like terms: 10x + 3x = 13x 4 + 13x = 21 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 13x = 21 + 0 4 + 13x = 21 Add '-4' to each side of the equation. 4 + -4 + 13x = 21 + -4 Combine like terms: 4 + -4 = 0 0 + 13x = 21 + -4 13x = 21 + -4 Combine like terms: 21 + -4 = 17 13x = 17 Divide each side by '13'. x = 1.307692308 Simplifying x = 1.307692308
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