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Simplifying -8(4 + -5x) + -6x = -7(-6x + 11) + -5x (4 * -8 + -5x * -8) + -6x = -7(-6x + 11) + -5x (-32 + 40x) + -6x = -7(-6x + 11) + -5x Combine like terms: 40x + -6x = 34x -32 + 34x = -7(-6x + 11) + -5x Reorder the terms: -32 + 34x = -7(11 + -6x) + -5x -32 + 34x = (11 * -7 + -6x * -7) + -5x -32 + 34x = (-77 + 42x) + -5x Combine like terms: 42x + -5x = 37x -32 + 34x = -77 + 37x Solving -32 + 34x = -77 + 37x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37x' to each side of the equation. -32 + 34x + -37x = -77 + 37x + -37x Combine like terms: 34x + -37x = -3x -32 + -3x = -77 + 37x + -37x Combine like terms: 37x + -37x = 0 -32 + -3x = -77 + 0 -32 + -3x = -77 Add '32' to each side of the equation. -32 + 32 + -3x = -77 + 32 Combine like terms: -32 + 32 = 0 0 + -3x = -77 + 32 -3x = -77 + 32 Combine like terms: -77 + 32 = -45 -3x = -45 Divide each side by '-3'. x = 15 Simplifying x = 15
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