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Simplifying 10x + 4 + -8x = 12 + -2(x + 10) Reorder the terms: 4 + 10x + -8x = 12 + -2(x + 10) Combine like terms: 10x + -8x = 2x 4 + 2x = 12 + -2(x + 10) Reorder the terms: 4 + 2x = 12 + -2(10 + x) 4 + 2x = 12 + (10 * -2 + x * -2) 4 + 2x = 12 + (-20 + -2x) Combine like terms: 12 + -20 = -8 4 + 2x = -8 + -2x Solving 4 + 2x = -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. 4 + 2x + 2x = -8 + -2x + 2x Combine like terms: 2x + 2x = 4x 4 + 4x = -8 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 4x = -8 + 0 4 + 4x = -8 Add '-4' to each side of the equation. 4 + -4 + 4x = -8 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = -8 + -4 4x = -8 + -4 Combine like terms: -8 + -4 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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