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Simplifying 5(2x + 6) = -1(x + 3) Reorder the terms: 5(6 + 2x) = -1(x + 3) (6 * 5 + 2x * 5) = -1(x + 3) (30 + 10x) = -1(x + 3) Reorder the terms: 30 + 10x = -1(3 + x) 30 + 10x = (3 * -1 + x * -1) 30 + 10x = (-3 + -1x) Solving 30 + 10x = -3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 30 + 10x + x = -3 + -1x + x Combine like terms: 10x + x = 11x 30 + 11x = -3 + -1x + x Combine like terms: -1x + x = 0 30 + 11x = -3 + 0 30 + 11x = -3 Add '-30' to each side of the equation. 30 + -30 + 11x = -3 + -30 Combine like terms: 30 + -30 = 0 0 + 11x = -3 + -30 11x = -3 + -30 Combine like terms: -3 + -30 = -33 11x = -33 Divide each side by '11'. x = -3 Simplifying x = -3
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