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Simplifying 12x + -2x + 10 = 2(x + -4) Reorder the terms: 10 + 12x + -2x = 2(x + -4) Combine like terms: 12x + -2x = 10x 10 + 10x = 2(x + -4) Reorder the terms: 10 + 10x = 2(-4 + x) 10 + 10x = (-4 * 2 + x * 2) 10 + 10x = (-8 + 2x) Solving 10 + 10x = -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. 10 + 10x + -2x = -8 + 2x + -2x Combine like terms: 10x + -2x = 8x 10 + 8x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 8x = -8 + 0 10 + 8x = -8 Add '-10' to each side of the equation. 10 + -10 + 8x = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = -8 + -10 8x = -8 + -10 Combine like terms: -8 + -10 = -18 8x = -18 Divide each side by '8'. x = -2.25 Simplifying x = -2.25
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