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Simplifying 5x + -3(x + -5) = -7 + 5x + 10 Reorder the terms: 5x + -3(-5 + x) = -7 + 5x + 10 5x + (-5 * -3 + x * -3) = -7 + 5x + 10 5x + (15 + -3x) = -7 + 5x + 10 Reorder the terms: 15 + 5x + -3x = -7 + 5x + 10 Combine like terms: 5x + -3x = 2x 15 + 2x = -7 + 5x + 10 Reorder the terms: 15 + 2x = -7 + 10 + 5x Combine like terms: -7 + 10 = 3 15 + 2x = 3 + 5x Solving 15 + 2x = 3 + 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. 15 + 2x + -5x = 3 + 5x + -5x Combine like terms: 2x + -5x = -3x 15 + -3x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + -3x = 3 + 0 15 + -3x = 3 Add '-15' to each side of the equation. 15 + -15 + -3x = 3 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = 3 + -15 -3x = 3 + -15 Combine like terms: 3 + -15 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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