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Simplifying 9x + 1 + -2(4x + -6) = 3(x + -1) Reorder the terms: 9x + 1 + -2(-6 + 4x) = 3(x + -1) 9x + 1 + (-6 * -2 + 4x * -2) = 3(x + -1) 9x + 1 + (12 + -8x) = 3(x + -1) Reorder the terms: 1 + 12 + 9x + -8x = 3(x + -1) Combine like terms: 1 + 12 = 13 13 + 9x + -8x = 3(x + -1) Combine like terms: 9x + -8x = 1x 13 + 1x = 3(x + -1) Reorder the terms: 13 + 1x = 3(-1 + x) 13 + 1x = (-1 * 3 + x * 3) 13 + 1x = (-3 + 3x) Solving 13 + 1x = -3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 13 + 1x + -3x = -3 + 3x + -3x Combine like terms: 1x + -3x = -2x 13 + -2x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 13 + -2x = -3 + 0 13 + -2x = -3 Add '-13' to each side of the equation. 13 + -13 + -2x = -3 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = -3 + -13 -2x = -3 + -13 Combine like terms: -3 + -13 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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