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Simplifying 2(6 + -2x) + -9x = -0.5(-4x + 6) (6 * 2 + -2x * 2) + -9x = -0.5(-4x + 6) (12 + -4x) + -9x = -0.5(-4x + 6) Combine like terms: -4x + -9x = -13x 12 + -13x = -0.5(-4x + 6) Reorder the terms: 12 + -13x = -0.5(6 + -4x) 12 + -13x = (6 * -0.5 + -4x * -0.5) 12 + -13x = (-3 + 2x) Solving 12 + -13x = -3 + 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 + -13x + -2x = -3 + 2x + -2x Combine like terms: -13x + -2x = -15x 12 + -15x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -15x = -3 + 0 12 + -15x = -3 Add '-12' to each side of the equation. 12 + -12 + -15x = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -15x = -3 + -12 -15x = -3 + -12 Combine like terms: -3 + -12 = -15 -15x = -15 Divide each side by '-15'. x = 1 Simplifying x = 1
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