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Simplifying -4(6x + -6) + 8 = -4(1 + 3x) + 6x Reorder the terms: -4(-6 + 6x) + 8 = -4(1 + 3x) + 6x (-6 * -4 + 6x * -4) + 8 = -4(1 + 3x) + 6x (24 + -24x) + 8 = -4(1 + 3x) + 6x Reorder the terms: 24 + 8 + -24x = -4(1 + 3x) + 6x Combine like terms: 24 + 8 = 32 32 + -24x = -4(1 + 3x) + 6x 32 + -24x = (1 * -4 + 3x * -4) + 6x 32 + -24x = (-4 + -12x) + 6x Combine like terms: -12x + 6x = -6x 32 + -24x = -4 + -6x Solving 32 + -24x = -4 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 32 + -24x + 6x = -4 + -6x + 6x Combine like terms: -24x + 6x = -18x 32 + -18x = -4 + -6x + 6x Combine like terms: -6x + 6x = 0 32 + -18x = -4 + 0 32 + -18x = -4 Add '-32' to each side of the equation. 32 + -32 + -18x = -4 + -32 Combine like terms: 32 + -32 = 0 0 + -18x = -4 + -32 -18x = -4 + -32 Combine like terms: -4 + -32 = -36 -18x = -36 Divide each side by '-18'. x = 2 Simplifying x = 2
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