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Simplifying 4x + -2x + 8 = -2(x + 5) Reorder the terms: 8 + 4x + -2x = -2(x + 5) Combine like terms: 4x + -2x = 2x 8 + 2x = -2(x + 5) Reorder the terms: 8 + 2x = -2(5 + x) 8 + 2x = (5 * -2 + x * -2) 8 + 2x = (-10 + -2x) Solving 8 + 2x = -10 + -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 = -10 + -2x + 2x Combine like terms: 2x + 2x = 4x 8 + 4x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 4x = -10 + 0 8 + 4x = -10 Add '-8' to each side of the equation. 8 + -8 + 4x = -10 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = -10 + -8 4x = -10 + -8 Combine like terms: -10 + -8 = -18 4x = -18 Divide each side by '4'. x = -4.5 Simplifying x = -4.5
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