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Simplifying 2x + -5(x + -2) = -7(x + -2) Reorder the terms: 2x + -5(-2 + x) = -7(x + -2) 2x + (-2 * -5 + x * -5) = -7(x + -2) 2x + (10 + -5x) = -7(x + -2) Reorder the terms: 10 + 2x + -5x = -7(x + -2) Combine like terms: 2x + -5x = -3x 10 + -3x = -7(x + -2) Reorder the terms: 10 + -3x = -7(-2 + x) 10 + -3x = (-2 * -7 + x * -7) 10 + -3x = (14 + -7x) Solving 10 + -3x = 14 + -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. 10 + -3x + 7x = 14 + -7x + 7x Combine like terms: -3x + 7x = 4x 10 + 4x = 14 + -7x + 7x Combine like terms: -7x + 7x = 0 10 + 4x = 14 + 0 10 + 4x = 14 Add '-10' to each side of the equation. 10 + -10 + 4x = 14 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = 14 + -10 4x = 14 + -10 Combine like terms: 14 + -10 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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