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Simplifying -2(9x + -1) + 6x = 3(x + 4) Reorder the terms: -2(-1 + 9x) + 6x = 3(x + 4) (-1 * -2 + 9x * -2) + 6x = 3(x + 4) (2 + -18x) + 6x = 3(x + 4) Combine like terms: -18x + 6x = -12x 2 + -12x = 3(x + 4) Reorder the terms: 2 + -12x = 3(4 + x) 2 + -12x = (4 * 3 + x * 3) 2 + -12x = (12 + 3x) Solving 2 + -12x = 12 + 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. 2 + -12x + -3x = 12 + 3x + -3x Combine like terms: -12x + -3x = -15x 2 + -15x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + -15x = 12 + 0 2 + -15x = 12 Add '-2' to each side of the equation. 2 + -2 + -15x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -15x = 12 + -2 -15x = 12 + -2 Combine like terms: 12 + -2 = 10 -15x = 10 Divide each side by '-15'. x = -0.6666666667 Simplifying x = -0.6666666667
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