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Simplifying 2x + -5(x + -2) = -7 + 5x + -7 Reorder the terms: 2x + -5(-2 + x) = -7 + 5x + -7 2x + (-2 * -5 + x * -5) = -7 + 5x + -7 2x + (10 + -5x) = -7 + 5x + -7 Reorder the terms: 10 + 2x + -5x = -7 + 5x + -7 Combine like terms: 2x + -5x = -3x 10 + -3x = -7 + 5x + -7 Reorder the terms: 10 + -3x = -7 + -7 + 5x Combine like terms: -7 + -7 = -14 10 + -3x = -14 + 5x Solving 10 + -3x = -14 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10 + -3x + -5x = -14 + 5x + -5x Combine like terms: -3x + -5x = -8x 10 + -8x = -14 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -8x = -14 + 0 10 + -8x = -14 Add '-10' to each side of the equation. 10 + -10 + -8x = -14 + -10 Combine like terms: 10 + -10 = 0 0 + -8x = -14 + -10 -8x = -14 + -10 Combine like terms: -14 + -10 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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