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Simplifying -4(-6x + 3) + -6x = 3(x + -3) + -9 Reorder the terms: -4(3 + -6x) + -6x = 3(x + -3) + -9 (3 * -4 + -6x * -4) + -6x = 3(x + -3) + -9 (-12 + 24x) + -6x = 3(x + -3) + -9 Combine like terms: 24x + -6x = 18x -12 + 18x = 3(x + -3) + -9 Reorder the terms: -12 + 18x = 3(-3 + x) + -9 -12 + 18x = (-3 * 3 + x * 3) + -9 -12 + 18x = (-9 + 3x) + -9 Reorder the terms: -12 + 18x = -9 + -9 + 3x Combine like terms: -9 + -9 = -18 -12 + 18x = -18 + 3x Solving -12 + 18x = -18 + 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. -12 + 18x + -3x = -18 + 3x + -3x Combine like terms: 18x + -3x = 15x -12 + 15x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + 15x = -18 + 0 -12 + 15x = -18 Add '12' to each side of the equation. -12 + 12 + 15x = -18 + 12 Combine like terms: -12 + 12 = 0 0 + 15x = -18 + 12 15x = -18 + 12 Combine like terms: -18 + 12 = -6 15x = -6 Divide each side by '15'. x = -0.4 Simplifying x = -0.4
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