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Simplifying 8x + -2(x + -7) = 6(x + 1) * 6 Reorder the terms: 8x + -2(-7 + x) = 6(x + 1) * 6 8x + (-7 * -2 + x * -2) = 6(x + 1) * 6 8x + (14 + -2x) = 6(x + 1) * 6 Reorder the terms: 14 + 8x + -2x = 6(x + 1) * 6 Combine like terms: 8x + -2x = 6x 14 + 6x = 6(x + 1) * 6 Reorder the terms: 14 + 6x = 6(1 + x) * 6 Reorder the terms for easier multiplication: 14 + 6x = 6 * 6(1 + x) Multiply 6 * 6 14 + 6x = 36(1 + x) 14 + 6x = (1 * 36 + x * 36) 14 + 6x = (36 + 36x) Solving 14 + 6x = 36 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 14 + 6x + -36x = 36 + 36x + -36x Combine like terms: 6x + -36x = -30x 14 + -30x = 36 + 36x + -36x Combine like terms: 36x + -36x = 0 14 + -30x = 36 + 0 14 + -30x = 36 Add '-14' to each side of the equation. 14 + -14 + -30x = 36 + -14 Combine like terms: 14 + -14 = 0 0 + -30x = 36 + -14 -30x = 36 + -14 Combine like terms: 36 + -14 = 22 -30x = 22 Divide each side by '-30'. x = -0.7333333333 Simplifying x = -0.7333333333
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