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Simplifying -2(4x + -6) + x = -3(x + 2) Reorder the terms: -2(-6 + 4x) + x = -3(x + 2) (-6 * -2 + 4x * -2) + x = -3(x + 2) (12 + -8x) + x = -3(x + 2) Combine like terms: -8x + x = -7x 12 + -7x = -3(x + 2) Reorder the terms: 12 + -7x = -3(2 + x) 12 + -7x = (2 * -3 + x * -3) 12 + -7x = (-6 + -3x) Solving 12 + -7x = -6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 12 + -7x + 3x = -6 + -3x + 3x Combine like terms: -7x + 3x = -4x 12 + -4x = -6 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + -4x = -6 + 0 12 + -4x = -6 Add '-12' to each side of the equation. 12 + -12 + -4x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = -6 + -12 -4x = -6 + -12 Combine like terms: -6 + -12 = -18 -4x = -18 Divide each side by '-4'. x = 4.5 Simplifying x = 4.5
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