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Simplifying 2(2x + -1) + 10 = -1(x + 2) + 4 Reorder the terms: 2(-1 + 2x) + 10 = -1(x + 2) + 4 (-1 * 2 + 2x * 2) + 10 = -1(x + 2) + 4 (-2 + 4x) + 10 = -1(x + 2) + 4 Reorder the terms: -2 + 10 + 4x = -1(x + 2) + 4 Combine like terms: -2 + 10 = 8 8 + 4x = -1(x + 2) + 4 Reorder the terms: 8 + 4x = -1(2 + x) + 4 8 + 4x = (2 * -1 + x * -1) + 4 8 + 4x = (-2 + -1x) + 4 Reorder the terms: 8 + 4x = -2 + 4 + -1x Combine like terms: -2 + 4 = 2 8 + 4x = 2 + -1x Solving 8 + 4x = 2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 8 + 4x + x = 2 + -1x + x Combine like terms: 4x + x = 5x 8 + 5x = 2 + -1x + x Combine like terms: -1x + x = 0 8 + 5x = 2 + 0 8 + 5x = 2 Add '-8' to each side of the equation. 8 + -8 + 5x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 2 + -8 5x = 2 + -8 Combine like terms: 2 + -8 = -6 5x = -6 Divide each side by '5'. x = -1.2 Simplifying x = -1.2
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