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Simplifying 5(x + -5) + -4(5x + 1) = x + -29 Reorder the terms: 5(-5 + x) + -4(5x + 1) = x + -29 (-5 * 5 + x * 5) + -4(5x + 1) = x + -29 (-25 + 5x) + -4(5x + 1) = x + -29 Reorder the terms: -25 + 5x + -4(1 + 5x) = x + -29 -25 + 5x + (1 * -4 + 5x * -4) = x + -29 -25 + 5x + (-4 + -20x) = x + -29 Reorder the terms: -25 + -4 + 5x + -20x = x + -29 Combine like terms: -25 + -4 = -29 -29 + 5x + -20x = x + -29 Combine like terms: 5x + -20x = -15x -29 + -15x = x + -29 Reorder the terms: -29 + -15x = -29 + x Add '29' to each side of the equation. -29 + 29 + -15x = -29 + 29 + x Combine like terms: -29 + 29 = 0 0 + -15x = -29 + 29 + x -15x = -29 + 29 + x Combine like terms: -29 + 29 = 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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