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Simplifying x + 2 + -2(-9x + -2) = 3(x + -4) Reorder the terms: x + 2 + -2(-2 + -9x) = 3(x + -4) x + 2 + (-2 * -2 + -9x * -2) = 3(x + -4) x + 2 + (4 + 18x) = 3(x + -4) Reorder the terms: 2 + 4 + x + 18x = 3(x + -4) Combine like terms: 2 + 4 = 6 6 + x + 18x = 3(x + -4) Combine like terms: x + 18x = 19x 6 + 19x = 3(x + -4) Reorder the terms: 6 + 19x = 3(-4 + x) 6 + 19x = (-4 * 3 + x * 3) 6 + 19x = (-12 + 3x) Solving 6 + 19x = -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. 6 + 19x + -3x = -12 + 3x + -3x Combine like terms: 19x + -3x = 16x 6 + 16x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 16x = -12 + 0 6 + 16x = -12 Add '-6' to each side of the equation. 6 + -6 + 16x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 16x = -12 + -6 16x = -12 + -6 Combine like terms: -12 + -6 = -18 16x = -18 Divide each side by '16'. x = -1.125 Simplifying x = -1.125
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