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Simplifying -3(-8x + 6) + -6x = 4(x + -3) + -2 Reorder the terms: -3(6 + -8x) + -6x = 4(x + -3) + -2 (6 * -3 + -8x * -3) + -6x = 4(x + -3) + -2 (-18 + 24x) + -6x = 4(x + -3) + -2 Combine like terms: 24x + -6x = 18x -18 + 18x = 4(x + -3) + -2 Reorder the terms: -18 + 18x = 4(-3 + x) + -2 -18 + 18x = (-3 * 4 + x * 4) + -2 -18 + 18x = (-12 + 4x) + -2 Reorder the terms: -18 + 18x = -12 + -2 + 4x Combine like terms: -12 + -2 = -14 -18 + 18x = -14 + 4x Solving -18 + 18x = -14 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -18 + 18x + -4x = -14 + 4x + -4x Combine like terms: 18x + -4x = 14x -18 + 14x = -14 + 4x + -4x Combine like terms: 4x + -4x = 0 -18 + 14x = -14 + 0 -18 + 14x = -14 Add '18' to each side of the equation. -18 + 18 + 14x = -14 + 18 Combine like terms: -18 + 18 = 0 0 + 14x = -14 + 18 14x = -14 + 18 Combine like terms: -14 + 18 = 4 14x = 4 Divide each side by '14'. x = 0.2857142857 Simplifying x = 0.2857142857
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