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Simplifying -11x + 4(x + -5) + 6x = 2x + -32 Reorder the terms: -11x + 4(-5 + x) + 6x = 2x + -32 -11x + (-5 * 4 + x * 4) + 6x = 2x + -32 -11x + (-20 + 4x) + 6x = 2x + -32 Reorder the terms: -20 + -11x + 4x + 6x = 2x + -32 Combine like terms: -11x + 4x = -7x -20 + -7x + 6x = 2x + -32 Combine like terms: -7x + 6x = -1x -20 + -1x = 2x + -32 Reorder the terms: -20 + -1x = -32 + 2x Solving -20 + -1x = -32 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -20 + -1x + -2x = -32 + 2x + -2x Combine like terms: -1x + -2x = -3x -20 + -3x = -32 + 2x + -2x Combine like terms: 2x + -2x = 0 -20 + -3x = -32 + 0 -20 + -3x = -32 Add '20' to each side of the equation. -20 + 20 + -3x = -32 + 20 Combine like terms: -20 + 20 = 0 0 + -3x = -32 + 20 -3x = -32 + 20 Combine like terms: -32 + 20 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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