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Simplifying 2x + 8 + 4 = -1(-8x + 4) + 2(x + -4) Reorder the terms: 8 + 4 + 2x = -1(-8x + 4) + 2(x + -4) Combine like terms: 8 + 4 = 12 12 + 2x = -1(-8x + 4) + 2(x + -4) Reorder the terms: 12 + 2x = -1(4 + -8x) + 2(x + -4) 12 + 2x = (4 * -1 + -8x * -1) + 2(x + -4) 12 + 2x = (-4 + 8x) + 2(x + -4) Reorder the terms: 12 + 2x = -4 + 8x + 2(-4 + x) 12 + 2x = -4 + 8x + (-4 * 2 + x * 2) 12 + 2x = -4 + 8x + (-8 + 2x) Reorder the terms: 12 + 2x = -4 + -8 + 8x + 2x Combine like terms: -4 + -8 = -12 12 + 2x = -12 + 8x + 2x Combine like terms: 8x + 2x = 10x 12 + 2x = -12 + 10x Solving 12 + 2x = -12 + 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. 12 + 2x + -10x = -12 + 10x + -10x Combine like terms: 2x + -10x = -8x 12 + -8x = -12 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -8x = -12 + 0 12 + -8x = -12 Add '-12' to each side of the equation. 12 + -12 + -8x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = -12 + -12 -8x = -12 + -12 Combine like terms: -12 + -12 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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