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Simplifying -2(x + -6) + 7 = 8(x + 6) Reorder the terms: -2(-6 + x) + 7 = 8(x + 6) (-6 * -2 + x * -2) + 7 = 8(x + 6) (12 + -2x) + 7 = 8(x + 6) Reorder the terms: 12 + 7 + -2x = 8(x + 6) Combine like terms: 12 + 7 = 19 19 + -2x = 8(x + 6) Reorder the terms: 19 + -2x = 8(6 + x) 19 + -2x = (6 * 8 + x * 8) 19 + -2x = (48 + 8x) Solving 19 + -2x = 48 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 19 + -2x + -8x = 48 + 8x + -8x Combine like terms: -2x + -8x = -10x 19 + -10x = 48 + 8x + -8x Combine like terms: 8x + -8x = 0 19 + -10x = 48 + 0 19 + -10x = 48 Add '-19' to each side of the equation. 19 + -19 + -10x = 48 + -19 Combine like terms: 19 + -19 = 0 0 + -10x = 48 + -19 -10x = 48 + -19 Combine like terms: 48 + -19 = 29 -10x = 29 Divide each side by '-10'. x = -2.9 Simplifying x = -2.9
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