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Simplifying 10 = 3(x + -2) + -2(5x + -1) Reorder the terms: 10 = 3(-2 + x) + -2(5x + -1) 10 = (-2 * 3 + x * 3) + -2(5x + -1) 10 = (-6 + 3x) + -2(5x + -1) Reorder the terms: 10 = -6 + 3x + -2(-1 + 5x) 10 = -6 + 3x + (-1 * -2 + 5x * -2) 10 = -6 + 3x + (2 + -10x) Reorder the terms: 10 = -6 + 2 + 3x + -10x Combine like terms: -6 + 2 = -4 10 = -4 + 3x + -10x Combine like terms: 3x + -10x = -7x 10 = -4 + -7x Solving 10 = -4 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 10 + 7x = -4 + -7x + 7x Combine like terms: -7x + 7x = 0 10 + 7x = -4 + 0 10 + 7x = -4 Add '-10' to each side of the equation. 10 + -10 + 7x = -4 + -10 Combine like terms: 10 + -10 = 0 0 + 7x = -4 + -10 7x = -4 + -10 Combine like terms: -4 + -10 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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