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Simplifying 8x + 48 = -2(x + -9) Reorder the terms: 48 + 8x = -2(x + -9) Reorder the terms: 48 + 8x = -2(-9 + x) 48 + 8x = (-9 * -2 + x * -2) 48 + 8x = (18 + -2x) Solving 48 + 8x = 18 + -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. 48 + 8x + 2x = 18 + -2x + 2x Combine like terms: 8x + 2x = 10x 48 + 10x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 48 + 10x = 18 + 0 48 + 10x = 18 Add '-48' to each side of the equation. 48 + -48 + 10x = 18 + -48 Combine like terms: 48 + -48 = 0 0 + 10x = 18 + -48 10x = 18 + -48 Combine like terms: 18 + -48 = -30 10x = -30 Divide each side by '10'. x = -3 Simplifying x = -3
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