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Simplifying 5x + (8 + -1x) = 6(x + -5) + -22 Remove parenthesis around (8 + -1x) 5x + 8 + -1x = 6(x + -5) + -22 Reorder the terms: 8 + 5x + -1x = 6(x + -5) + -22 Combine like terms: 5x + -1x = 4x 8 + 4x = 6(x + -5) + -22 Reorder the terms: 8 + 4x = 6(-5 + x) + -22 8 + 4x = (-5 * 6 + x * 6) + -22 8 + 4x = (-30 + 6x) + -22 Reorder the terms: 8 + 4x = -30 + -22 + 6x Combine like terms: -30 + -22 = -52 8 + 4x = -52 + 6x Solving 8 + 4x = -52 + 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. 8 + 4x + -6x = -52 + 6x + -6x Combine like terms: 4x + -6x = -2x 8 + -2x = -52 + 6x + -6x Combine like terms: 6x + -6x = 0 8 + -2x = -52 + 0 8 + -2x = -52 Add '-8' to each side of the equation. 8 + -8 + -2x = -52 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = -52 + -8 -2x = -52 + -8 Combine like terms: -52 + -8 = -60 -2x = -60 Divide each side by '-2'. x = 30 Simplifying x = 30
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