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Simplifying -4(2x + -3) = 5(3x + -1) + 17 Reorder the terms: -4(-3 + 2x) = 5(3x + -1) + 17 (-3 * -4 + 2x * -4) = 5(3x + -1) + 17 (12 + -8x) = 5(3x + -1) + 17 Reorder the terms: 12 + -8x = 5(-1 + 3x) + 17 12 + -8x = (-1 * 5 + 3x * 5) + 17 12 + -8x = (-5 + 15x) + 17 Reorder the terms: 12 + -8x = -5 + 17 + 15x Combine like terms: -5 + 17 = 12 12 + -8x = 12 + 15x Add '-12' to each side of the equation. 12 + -12 + -8x = 12 + -12 + 15x Combine like terms: 12 + -12 = 0 0 + -8x = 12 + -12 + 15x -8x = 12 + -12 + 15x Combine like terms: 12 + -12 = 0 -8x = 0 + 15x -8x = 15x Solving -8x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -8x + -15x = 15x + -15x Combine like terms: -8x + -15x = -23x -23x = 15x + -15x Combine like terms: 15x + -15x = 0 -23x = 0 Divide each side by '-23'. x = 0 Simplifying x = 0
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