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Simplifying 5(2x + 6) = 2(x + -5) Reorder the terms: 5(6 + 2x) = 2(x + -5) (6 * 5 + 2x * 5) = 2(x + -5) (30 + 10x) = 2(x + -5) Reorder the terms: 30 + 10x = 2(-5 + x) 30 + 10x = (-5 * 2 + x * 2) 30 + 10x = (-10 + 2x) Solving 30 + 10x = -10 + 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. 30 + 10x + -2x = -10 + 2x + -2x Combine like terms: 10x + -2x = 8x 30 + 8x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 30 + 8x = -10 + 0 30 + 8x = -10 Add '-30' to each side of the equation. 30 + -30 + 8x = -10 + -30 Combine like terms: 30 + -30 = 0 0 + 8x = -10 + -30 8x = -10 + -30 Combine like terms: -10 + -30 = -40 8x = -40 Divide each side by '8'. x = -5 Simplifying x = -5
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