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Simplifying 5x + -2(x + 2) = 2(2x + -1) + 10 Reorder the terms: 5x + -2(2 + x) = 2(2x + -1) + 10 5x + (2 * -2 + x * -2) = 2(2x + -1) + 10 5x + (-4 + -2x) = 2(2x + -1) + 10 Reorder the terms: -4 + 5x + -2x = 2(2x + -1) + 10 Combine like terms: 5x + -2x = 3x -4 + 3x = 2(2x + -1) + 10 Reorder the terms: -4 + 3x = 2(-1 + 2x) + 10 -4 + 3x = (-1 * 2 + 2x * 2) + 10 -4 + 3x = (-2 + 4x) + 10 Reorder the terms: -4 + 3x = -2 + 10 + 4x Combine like terms: -2 + 10 = 8 -4 + 3x = 8 + 4x Solving -4 + 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. -4 + 3x + -4x = 8 + 4x + -4x Combine like terms: 3x + -4x = -1x -4 + -1x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + -1x = 8 + 0 -4 + -1x = 8 Add '4' to each side of the equation. -4 + 4 + -1x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 8 + 4 -1x = 8 + 4 Combine like terms: 8 + 4 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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