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Simplifying 2(x + 4) + 2 = 8x + 2(x + -12) Reorder the terms: 2(4 + x) + 2 = 8x + 2(x + -12) (4 * 2 + x * 2) + 2 = 8x + 2(x + -12) (8 + 2x) + 2 = 8x + 2(x + -12) Reorder the terms: 8 + 2 + 2x = 8x + 2(x + -12) Combine like terms: 8 + 2 = 10 10 + 2x = 8x + 2(x + -12) Reorder the terms: 10 + 2x = 8x + 2(-12 + x) 10 + 2x = 8x + (-12 * 2 + x * 2) 10 + 2x = 8x + (-24 + 2x) Reorder the terms: 10 + 2x = -24 + 8x + 2x Combine like terms: 8x + 2x = 10x 10 + 2x = -24 + 10x Solving 10 + 2x = -24 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 10 + 2x + -10x = -24 + 10x + -10x Combine like terms: 2x + -10x = -8x 10 + -8x = -24 + 10x + -10x Combine like terms: 10x + -10x = 0 10 + -8x = -24 + 0 10 + -8x = -24 Add '-10' to each side of the equation. 10 + -10 + -8x = -24 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = -24 + -10 -8x = -24 + -10 Combine like terms: -24 + -10 = -34 -8x = -34 Divide each side by '-8'. x = 4.25 Simplifying x = 4.25
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