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Simplifying 5x + -2(x + -5) = 7x + -2 Reorder the terms: 5x + -2(-5 + x) = 7x + -2 5x + (-5 * -2 + x * -2) = 7x + -2 5x + (10 + -2x) = 7x + -2 Reorder the terms: 10 + 5x + -2x = 7x + -2 Combine like terms: 5x + -2x = 3x 10 + 3x = 7x + -2 Reorder the terms: 10 + 3x = -2 + 7x Solving 10 + 3x = -2 + 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 = -2 + 7x + -7x Combine like terms: 3x + -7x = -4x 10 + -4x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -4x = -2 + 0 10 + -4x = -2 Add '-10' to each side of the equation. 10 + -10 + -4x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = -2 + -10 -4x = -2 + -10 Combine like terms: -2 + -10 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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