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Simplifying 5(x + -1) + -4(5x + 3) = x + -17 Reorder the terms: 5(-1 + x) + -4(5x + 3) = x + -17 (-1 * 5 + x * 5) + -4(5x + 3) = x + -17 (-5 + 5x) + -4(5x + 3) = x + -17 Reorder the terms: -5 + 5x + -4(3 + 5x) = x + -17 -5 + 5x + (3 * -4 + 5x * -4) = x + -17 -5 + 5x + (-12 + -20x) = x + -17 Reorder the terms: -5 + -12 + 5x + -20x = x + -17 Combine like terms: -5 + -12 = -17 -17 + 5x + -20x = x + -17 Combine like terms: 5x + -20x = -15x -17 + -15x = x + -17 Reorder the terms: -17 + -15x = -17 + x Add '17' to each side of the equation. -17 + 17 + -15x = -17 + 17 + x Combine like terms: -17 + 17 = 0 0 + -15x = -17 + 17 + x -15x = -17 + 17 + x Combine like terms: -17 + 17 = 0 -15x = 0 + x -15x = x Solving -15x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -15x + -1x = x + -1x Combine like terms: -15x + -1x = -16x -16x = x + -1x Combine like terms: x + -1x = 0 -16x = 0 Divide each side by '-16'. x = 0 Simplifying x = 0
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