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Simplifying 4(x + -11) + 90 + -86 = 5x + 32 Reorder the terms: 4(-11 + x) + 90 + -86 = 5x + 32 (-11 * 4 + x * 4) + 90 + -86 = 5x + 32 (-44 + 4x) + 90 + -86 = 5x + 32 Reorder the terms: -44 + 90 + -86 + 4x = 5x + 32 Combine like terms: -44 + 90 = 46 46 + -86 + 4x = 5x + 32 Combine like terms: 46 + -86 = -40 -40 + 4x = 5x + 32 Reorder the terms: -40 + 4x = 32 + 5x Solving -40 + 4x = 32 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -40 + 4x + -5x = 32 + 5x + -5x Combine like terms: 4x + -5x = -1x -40 + -1x = 32 + 5x + -5x Combine like terms: 5x + -5x = 0 -40 + -1x = 32 + 0 -40 + -1x = 32 Add '40' to each side of the equation. -40 + 40 + -1x = 32 + 40 Combine like terms: -40 + 40 = 0 0 + -1x = 32 + 40 -1x = 32 + 40 Combine like terms: 32 + 40 = 72 -1x = 72 Divide each side by '-1'. x = -72 Simplifying x = -72
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