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Simplifying 5x + -3(x + -5) = -4x + 17 Reorder the terms: 5x + -3(-5 + x) = -4x + 17 5x + (-5 * -3 + x * -3) = -4x + 17 5x + (15 + -3x) = -4x + 17 Reorder the terms: 15 + 5x + -3x = -4x + 17 Combine like terms: 5x + -3x = 2x 15 + 2x = -4x + 17 Reorder the terms: 15 + 2x = 17 + -4x Solving 15 + 2x = 17 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 15 + 2x + 4x = 17 + -4x + 4x Combine like terms: 2x + 4x = 6x 15 + 6x = 17 + -4x + 4x Combine like terms: -4x + 4x = 0 15 + 6x = 17 + 0 15 + 6x = 17 Add '-15' to each side of the equation. 15 + -15 + 6x = 17 + -15 Combine like terms: 15 + -15 = 0 0 + 6x = 17 + -15 6x = 17 + -15 Combine like terms: 17 + -15 = 2 6x = 2 Divide each side by '6'. x = 0.3333333333 Simplifying x = 0.3333333333
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