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Simplifying 4(3x + -3) = 2(2x + -1) + 2x Reorder the terms: 4(-3 + 3x) = 2(2x + -1) + 2x (-3 * 4 + 3x * 4) = 2(2x + -1) + 2x (-12 + 12x) = 2(2x + -1) + 2x Reorder the terms: -12 + 12x = 2(-1 + 2x) + 2x -12 + 12x = (-1 * 2 + 2x * 2) + 2x -12 + 12x = (-2 + 4x) + 2x Combine like terms: 4x + 2x = 6x -12 + 12x = -2 + 6x Solving -12 + 12x = -2 + 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. -12 + 12x + -6x = -2 + 6x + -6x Combine like terms: 12x + -6x = 6x -12 + 6x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 6x = -2 + 0 -12 + 6x = -2 Add '12' to each side of the equation. -12 + 12 + 6x = -2 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = -2 + 12 6x = -2 + 12 Combine like terms: -2 + 12 = 10 6x = 10 Divide each side by '6'. x = 1.666666667 Simplifying x = 1.666666667
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