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Simplifying 5(x + -2) + 2 = 5x + -2(2 + -1x) Reorder the terms: 5(-2 + x) + 2 = 5x + -2(2 + -1x) (-2 * 5 + x * 5) + 2 = 5x + -2(2 + -1x) (-10 + 5x) + 2 = 5x + -2(2 + -1x) Reorder the terms: -10 + 2 + 5x = 5x + -2(2 + -1x) Combine like terms: -10 + 2 = -8 -8 + 5x = 5x + -2(2 + -1x) -8 + 5x = 5x + (2 * -2 + -1x * -2) -8 + 5x = 5x + (-4 + 2x) Reorder the terms: -8 + 5x = -4 + 5x + 2x Combine like terms: 5x + 2x = 7x -8 + 5x = -4 + 7x Solving -8 + 5x = -4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -8 + 5x + -7x = -4 + 7x + -7x Combine like terms: 5x + -7x = -2x -8 + -2x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 -8 + -2x = -4 + 0 -8 + -2x = -4 Add '8' to each side of the equation. -8 + 8 + -2x = -4 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = -4 + 8 -2x = -4 + 8 Combine like terms: -4 + 8 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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