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Simplifying 10x + -3(x + -2) = 5(3 + 2x) Reorder the terms: 10x + -3(-2 + x) = 5(3 + 2x) 10x + (-2 * -3 + x * -3) = 5(3 + 2x) 10x + (6 + -3x) = 5(3 + 2x) Reorder the terms: 6 + 10x + -3x = 5(3 + 2x) Combine like terms: 10x + -3x = 7x 6 + 7x = 5(3 + 2x) 6 + 7x = (3 * 5 + 2x * 5) 6 + 7x = (15 + 10x) Solving 6 + 7x = 15 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 6 + 7x + -10x = 15 + 10x + -10x Combine like terms: 7x + -10x = -3x 6 + -3x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + -3x = 15 + 0 6 + -3x = 15 Add '-6' to each side of the equation. 6 + -6 + -3x = 15 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = 15 + -6 -3x = 15 + -6 Combine like terms: 15 + -6 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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