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