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Simplifying -4(-6x + 2) + -6x = 4(x + -3) + -6 Reorder the terms: -4(2 + -6x) + -6x = 4(x + -3) + -6 (2 * -4 + -6x * -4) + -6x = 4(x + -3) + -6 (-8 + 24x) + -6x = 4(x + -3) + -6 Combine like terms: 24x + -6x = 18x -8 + 18x = 4(x + -3) + -6 Reorder the terms: -8 + 18x = 4(-3 + x) + -6 -8 + 18x = (-3 * 4 + x * 4) + -6 -8 + 18x = (-12 + 4x) + -6 Reorder the terms: -8 + 18x = -12 + -6 + 4x Combine like terms: -12 + -6 = -18 -8 + 18x = -18 + 4x Solving -8 + 18x = -18 + 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. -8 + 18x + -4x = -18 + 4x + -4x Combine like terms: 18x + -4x = 14x -8 + 14x = -18 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 14x = -18 + 0 -8 + 14x = -18 Add '8' to each side of the equation. -8 + 8 + 14x = -18 + 8 Combine like terms: -8 + 8 = 0 0 + 14x = -18 + 8 14x = -18 + 8 Combine like terms: -18 + 8 = -10 14x = -10 Divide each side by '14'. x = -0.7142857143 Simplifying x = -0.7142857143
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