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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) Reorder the terms: 12 + -4x = -9x + -0.5(6 + -4x) 12 + -4x = -9x + (6 * -0.5 + -4x * -0.5) 12 + -4x = -9x + (-3 + 2x) Reorder the terms: 12 + -4x = -3 + -9x + 2x Combine like terms: -9x + 2x = -7x 12 + -4x = -3 + -7x Solving 12 + -4x = -3 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 12 + -4x + 7x = -3 + -7x + 7x Combine like terms: -4x + 7x = 3x 12 + 3x = -3 + -7x + 7x Combine like terms: -7x + 7x = 0 12 + 3x = -3 + 0 12 + 3x = -3 Add '-12' to each side of the equation. 12 + -12 + 3x = -3 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = -3 + -12 3x = -3 + -12 Combine like terms: -3 + -12 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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