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Simplifying 6(x + 5) = -2(x + -3) Reorder the terms: 6(5 + x) = -2(x + -3) (5 * 6 + x * 6) = -2(x + -3) (30 + 6x) = -2(x + -3) Reorder the terms: 30 + 6x = -2(-3 + x) 30 + 6x = (-3 * -2 + x * -2) 30 + 6x = (6 + -2x) Solving 30 + 6x = 6 + -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 + 6x + 2x = 6 + -2x + 2x Combine like terms: 6x + 2x = 8x 30 + 8x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 30 + 8x = 6 + 0 30 + 8x = 6 Add '-30' to each side of the equation. 30 + -30 + 8x = 6 + -30 Combine like terms: 30 + -30 = 0 0 + 8x = 6 + -30 8x = 6 + -30 Combine like terms: 6 + -30 = -24 8x = -24 Divide each side by '8'. x = -3 Simplifying x = -3
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