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Simplifying 9x + -4(x + -6) = 2(x + -1) + 8 Reorder the terms: 9x + -4(-6 + x) = 2(x + -1) + 8 9x + (-6 * -4 + x * -4) = 2(x + -1) + 8 9x + (24 + -4x) = 2(x + -1) + 8 Reorder the terms: 24 + 9x + -4x = 2(x + -1) + 8 Combine like terms: 9x + -4x = 5x 24 + 5x = 2(x + -1) + 8 Reorder the terms: 24 + 5x = 2(-1 + x) + 8 24 + 5x = (-1 * 2 + x * 2) + 8 24 + 5x = (-2 + 2x) + 8 Reorder the terms: 24 + 5x = -2 + 8 + 2x Combine like terms: -2 + 8 = 6 24 + 5x = 6 + 2x Solving 24 + 5x = 6 + 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. 24 + 5x + -2x = 6 + 2x + -2x Combine like terms: 5x + -2x = 3x 24 + 3x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + 3x = 6 + 0 24 + 3x = 6 Add '-24' to each side of the equation. 24 + -24 + 3x = 6 + -24 Combine like terms: 24 + -24 = 0 0 + 3x = 6 + -24 3x = 6 + -24 Combine like terms: 6 + -24 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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