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Simplifying 4(x + -5) + x = 6x + 32 Reorder the terms: 4(-5 + x) + x = 6x + 32 (-5 * 4 + x * 4) + x = 6x + 32 (-20 + 4x) + x = 6x + 32 Combine like terms: 4x + x = 5x -20 + 5x = 6x + 32 Reorder the terms: -20 + 5x = 32 + 6x Solving -20 + 5x = 32 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -20 + 5x + -6x = 32 + 6x + -6x Combine like terms: 5x + -6x = -1x -20 + -1x = 32 + 6x + -6x Combine like terms: 6x + -6x = 0 -20 + -1x = 32 + 0 -20 + -1x = 32 Add '20' to each side of the equation. -20 + 20 + -1x = 32 + 20 Combine like terms: -20 + 20 = 0 0 + -1x = 32 + 20 -1x = 32 + 20 Combine like terms: 32 + 20 = 52 -1x = 52 Divide each side by '-1'. x = -52 Simplifying x = -52
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