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Simplifying 5x + -3(x + -5) = -8 + 4x + 17 Reorder the terms: 5x + -3(-5 + x) = -8 + 4x + 17 5x + (-5 * -3 + x * -3) = -8 + 4x + 17 5x + (15 + -3x) = -8 + 4x + 17 Reorder the terms: 15 + 5x + -3x = -8 + 4x + 17 Combine like terms: 5x + -3x = 2x 15 + 2x = -8 + 4x + 17 Reorder the terms: 15 + 2x = -8 + 17 + 4x Combine like terms: -8 + 17 = 9 15 + 2x = 9 + 4x Solving 15 + 2x = 9 + 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 = 9 + 4x + -4x Combine like terms: 2x + -4x = -2x 15 + -2x = 9 + 4x + -4x Combine like terms: 4x + -4x = 0 15 + -2x = 9 + 0 15 + -2x = 9 Add '-15' to each side of the equation. 15 + -15 + -2x = 9 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 9 + -15 -2x = 9 + -15 Combine like terms: 9 + -15 = -6 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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