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Simplifying 8(2x + 6) = 24 + -1(2x + -6) Reorder the terms: 8(6 + 2x) = 24 + -1(2x + -6) (6 * 8 + 2x * 8) = 24 + -1(2x + -6) (48 + 16x) = 24 + -1(2x + -6) Reorder the terms: 48 + 16x = 24 + -1(-6 + 2x) 48 + 16x = 24 + (-6 * -1 + 2x * -1) 48 + 16x = 24 + (6 + -2x) Combine like terms: 24 + 6 = 30 48 + 16x = 30 + -2x Solving 48 + 16x = 30 + -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 + 16x + 2x = 30 + -2x + 2x Combine like terms: 16x + 2x = 18x 48 + 18x = 30 + -2x + 2x Combine like terms: -2x + 2x = 0 48 + 18x = 30 + 0 48 + 18x = 30 Add '-48' to each side of the equation. 48 + -48 + 18x = 30 + -48 Combine like terms: 48 + -48 = 0 0 + 18x = 30 + -48 18x = 30 + -48 Combine like terms: 30 + -48 = -18 18x = -18 Divide each side by '18'. x = -1 Simplifying x = -1
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