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Simplifying 5x + 2(x + -2) = 4x + 2(2x + -1) Reorder the terms: 5x + 2(-2 + x) = 4x + 2(2x + -1) 5x + (-2 * 2 + x * 2) = 4x + 2(2x + -1) 5x + (-4 + 2x) = 4x + 2(2x + -1) Reorder the terms: -4 + 5x + 2x = 4x + 2(2x + -1) Combine like terms: 5x + 2x = 7x -4 + 7x = 4x + 2(2x + -1) Reorder the terms: -4 + 7x = 4x + 2(-1 + 2x) -4 + 7x = 4x + (-1 * 2 + 2x * 2) -4 + 7x = 4x + (-2 + 4x) Reorder the terms: -4 + 7x = -2 + 4x + 4x Combine like terms: 4x + 4x = 8x -4 + 7x = -2 + 8x Solving -4 + 7x = -2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -4 + 7x + -8x = -2 + 8x + -8x Combine like terms: 7x + -8x = -1x -4 + -1x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + -1x = -2 + 0 -4 + -1x = -2 Add '4' to each side of the equation. -4 + 4 + -1x = -2 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -2 + 4 -1x = -2 + 4 Combine like terms: -2 + 4 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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