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Simplifying 5x + -8x + 2 = 2(x + -4) Reorder the terms: 2 + 5x + -8x = 2(x + -4) Combine like terms: 5x + -8x = -3x 2 + -3x = 2(x + -4) Reorder the terms: 2 + -3x = 2(-4 + x) 2 + -3x = (-4 * 2 + x * 2) 2 + -3x = (-8 + 2x) Solving 2 + -3x = -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. 2 + -3x + -2x = -8 + 2x + -2x Combine like terms: -3x + -2x = -5x 2 + -5x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + -5x = -8 + 0 2 + -5x = -8 Add '-2' to each side of the equation. 2 + -2 + -5x = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = -8 + -2 -5x = -8 + -2 Combine like terms: -8 + -2 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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