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Simplifying 5x + 2 + -2x = 2(2x + -4) Reorder the terms: 2 + 5x + -2x = 2(2x + -4) Combine like terms: 5x + -2x = 3x 2 + 3x = 2(2x + -4) Reorder the terms: 2 + 3x = 2(-4 + 2x) 2 + 3x = (-4 * 2 + 2x * 2) 2 + 3x = (-8 + 4x) Solving 2 + 3x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + 3x + -4x = -8 + 4x + -4x Combine like terms: 3x + -4x = -1x 2 + -1x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -1x = -8 + 0 2 + -1x = -8 Add '-2' to each side of the equation. 2 + -2 + -1x = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = -8 + -2 -1x = -8 + -2 Combine like terms: -8 + -2 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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