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Simplifying -4(x + 2) + 2x = 5x + 6 Reorder the terms: -4(2 + x) + 2x = 5x + 6 (2 * -4 + x * -4) + 2x = 5x + 6 (-8 + -4x) + 2x = 5x + 6 Combine like terms: -4x + 2x = -2x -8 + -2x = 5x + 6 Reorder the terms: -8 + -2x = 6 + 5x Solving -8 + -2x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -8 + -2x + -5x = 6 + 5x + -5x Combine like terms: -2x + -5x = -7x -8 + -7x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + -7x = 6 + 0 -8 + -7x = 6 Add '8' to each side of the equation. -8 + 8 + -7x = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = 6 + 8 -7x = 6 + 8 Combine like terms: 6 + 8 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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