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