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