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Simplifying 4(3 + -2x) + 2x = 2x + -8 (3 * 4 + -2x * 4) + 2x = 2x + -8 (12 + -8x) + 2x = 2x + -8 Combine like terms: -8x + 2x = -6x 12 + -6x = 2x + -8 Reorder the terms: 12 + -6x = -8 + 2x Solving 12 + -6x = -8 + 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 + -6x + -2x = -8 + 2x + -2x Combine like terms: -6x + -2x = -8x 12 + -8x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -8x = -8 + 0 12 + -8x = -8 Add '-12' to each side of the equation. 12 + -12 + -8x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = -8 + -12 -8x = -8 + -12 Combine like terms: -8 + -12 = -20 -8x = -20 Divide each side by '-8'. x = 2.5 Simplifying x = 2.5
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