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Simplifying -4(3x + -3) + 6x = 5 + 2(6x + -1) Reorder the terms: -4(-3 + 3x) + 6x = 5 + 2(6x + -1) (-3 * -4 + 3x * -4) + 6x = 5 + 2(6x + -1) (12 + -12x) + 6x = 5 + 2(6x + -1) Combine like terms: -12x + 6x = -6x 12 + -6x = 5 + 2(6x + -1) Reorder the terms: 12 + -6x = 5 + 2(-1 + 6x) 12 + -6x = 5 + (-1 * 2 + 6x * 2) 12 + -6x = 5 + (-2 + 12x) Combine like terms: 5 + -2 = 3 12 + -6x = 3 + 12x Solving 12 + -6x = 3 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 12 + -6x + -12x = 3 + 12x + -12x Combine like terms: -6x + -12x = -18x 12 + -18x = 3 + 12x + -12x Combine like terms: 12x + -12x = 0 12 + -18x = 3 + 0 12 + -18x = 3 Add '-12' to each side of the equation. 12 + -12 + -18x = 3 + -12 Combine like terms: 12 + -12 = 0 0 + -18x = 3 + -12 -18x = 3 + -12 Combine like terms: 3 + -12 = -9 -18x = -9 Divide each side by '-18'. x = 0.5 Simplifying x = 0.5
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