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Simplifying 5(2 + x) = -3(x + -6) (2 * 5 + x * 5) = -3(x + -6) (10 + 5x) = -3(x + -6) Reorder the terms: 10 + 5x = -3(-6 + x) 10 + 5x = (-6 * -3 + x * -3) 10 + 5x = (18 + -3x) Solving 10 + 5x = 18 + -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. 10 + 5x + 3x = 18 + -3x + 3x Combine like terms: 5x + 3x = 8x 10 + 8x = 18 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 8x = 18 + 0 10 + 8x = 18 Add '-10' to each side of the equation. 10 + -10 + 8x = 18 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = 18 + -10 8x = 18 + -10 Combine like terms: 18 + -10 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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