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Simplifying 5(x + 2) = -7x + 2(-2 + -1x) Reorder the terms: 5(2 + x) = -7x + 2(-2 + -1x) (2 * 5 + x * 5) = -7x + 2(-2 + -1x) (10 + 5x) = -7x + 2(-2 + -1x) 10 + 5x = -7x + (-2 * 2 + -1x * 2) 10 + 5x = -7x + (-4 + -2x) Reorder the terms: 10 + 5x = -4 + -7x + -2x Combine like terms: -7x + -2x = -9x 10 + 5x = -4 + -9x Solving 10 + 5x = -4 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 10 + 5x + 9x = -4 + -9x + 9x Combine like terms: 5x + 9x = 14x 10 + 14x = -4 + -9x + 9x Combine like terms: -9x + 9x = 0 10 + 14x = -4 + 0 10 + 14x = -4 Add '-10' to each side of the equation. 10 + -10 + 14x = -4 + -10 Combine like terms: 10 + -10 = 0 0 + 14x = -4 + -10 14x = -4 + -10 Combine like terms: -4 + -10 = -14 14x = -14 Divide each side by '14'. x = -1 Simplifying x = -1
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