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Simplifying 8(x + 6) = 38 + -2x Reorder the terms: 8(6 + x) = 38 + -2x (6 * 8 + x * 8) = 38 + -2x (48 + 8x) = 38 + -2x Solving 48 + 8x = 38 + -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 = 38 + -2x + 2x Combine like terms: 8x + 2x = 10x 48 + 10x = 38 + -2x + 2x Combine like terms: -2x + 2x = 0 48 + 10x = 38 + 0 48 + 10x = 38 Add '-48' to each side of the equation. 48 + -48 + 10x = 38 + -48 Combine like terms: 48 + -48 = 0 0 + 10x = 38 + -48 10x = 38 + -48 Combine like terms: 38 + -48 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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