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Simplifying 4(x + -5) + -3(5x + 4) = x + -32 Reorder the terms: 4(-5 + x) + -3(5x + 4) = x + -32 (-5 * 4 + x * 4) + -3(5x + 4) = x + -32 (-20 + 4x) + -3(5x + 4) = x + -32 Reorder the terms: -20 + 4x + -3(4 + 5x) = x + -32 -20 + 4x + (4 * -3 + 5x * -3) = x + -32 -20 + 4x + (-12 + -15x) = x + -32 Reorder the terms: -20 + -12 + 4x + -15x = x + -32 Combine like terms: -20 + -12 = -32 -32 + 4x + -15x = x + -32 Combine like terms: 4x + -15x = -11x -32 + -11x = x + -32 Reorder the terms: -32 + -11x = -32 + x Add '32' to each side of the equation. -32 + 32 + -11x = -32 + 32 + x Combine like terms: -32 + 32 = 0 0 + -11x = -32 + 32 + x -11x = -32 + 32 + x Combine like terms: -32 + 32 = 0 -11x = 0 + x -11x = x Solving -11x = 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. -11x + -1x = x + -1x Combine like terms: -11x + -1x = -12x -12x = x + -1x Combine like terms: x + -1x = 0 -12x = 0 Divide each side by '-12'. x = 0 Simplifying x = 0
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