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Simplifying 5(x + -6) + -4 = 6(x + 3) + -22 Reorder the terms: 5(-6 + x) + -4 = 6(x + 3) + -22 (-6 * 5 + x * 5) + -4 = 6(x + 3) + -22 (-30 + 5x) + -4 = 6(x + 3) + -22 Reorder the terms: -30 + -4 + 5x = 6(x + 3) + -22 Combine like terms: -30 + -4 = -34 -34 + 5x = 6(x + 3) + -22 Reorder the terms: -34 + 5x = 6(3 + x) + -22 -34 + 5x = (3 * 6 + x * 6) + -22 -34 + 5x = (18 + 6x) + -22 Reorder the terms: -34 + 5x = 18 + -22 + 6x Combine like terms: 18 + -22 = -4 -34 + 5x = -4 + 6x Solving -34 + 5x = -4 + 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. -34 + 5x + -6x = -4 + 6x + -6x Combine like terms: 5x + -6x = -1x -34 + -1x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 -34 + -1x = -4 + 0 -34 + -1x = -4 Add '34' to each side of the equation. -34 + 34 + -1x = -4 + 34 Combine like terms: -34 + 34 = 0 0 + -1x = -4 + 34 -1x = -4 + 34 Combine like terms: -4 + 34 = 30 -1x = 30 Divide each side by '-1'. x = -30 Simplifying x = -30
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