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Simplifying 2(x + -2) + -7 = -2(-5x + 7) + -2x Reorder the terms: 2(-2 + x) + -7 = -2(-5x + 7) + -2x (-2 * 2 + x * 2) + -7 = -2(-5x + 7) + -2x (-4 + 2x) + -7 = -2(-5x + 7) + -2x Reorder the terms: -4 + -7 + 2x = -2(-5x + 7) + -2x Combine like terms: -4 + -7 = -11 -11 + 2x = -2(-5x + 7) + -2x Reorder the terms: -11 + 2x = -2(7 + -5x) + -2x -11 + 2x = (7 * -2 + -5x * -2) + -2x -11 + 2x = (-14 + 10x) + -2x Combine like terms: 10x + -2x = 8x -11 + 2x = -14 + 8x Solving -11 + 2x = -14 + 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. -11 + 2x + -8x = -14 + 8x + -8x Combine like terms: 2x + -8x = -6x -11 + -6x = -14 + 8x + -8x Combine like terms: 8x + -8x = 0 -11 + -6x = -14 + 0 -11 + -6x = -14 Add '11' to each side of the equation. -11 + 11 + -6x = -14 + 11 Combine like terms: -11 + 11 = 0 0 + -6x = -14 + 11 -6x = -14 + 11 Combine like terms: -14 + 11 = -3 -6x = -3 Divide each side by '-6'. x = 0.5 Simplifying x = 0.5
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