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Simplifying 3x + -2(5x + -5) = 7x + 3 Reorder the terms: 3x + -2(-5 + 5x) = 7x + 3 3x + (-5 * -2 + 5x * -2) = 7x + 3 3x + (10 + -10x) = 7x + 3 Reorder the terms: 10 + 3x + -10x = 7x + 3 Combine like terms: 3x + -10x = -7x 10 + -7x = 7x + 3 Reorder the terms: 10 + -7x = 3 + 7x Solving 10 + -7x = 3 + 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 + -7x + -7x = 3 + 7x + -7x Combine like terms: -7x + -7x = -14x 10 + -14x = 3 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -14x = 3 + 0 10 + -14x = 3 Add '-10' to each side of the equation. 10 + -10 + -14x = 3 + -10 Combine like terms: 10 + -10 = 0 0 + -14x = 3 + -10 -14x = 3 + -10 Combine like terms: 3 + -10 = -7 -14x = -7 Divide each side by '-14'. x = 0.5 Simplifying x = 0.5
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