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Simplifying 5(x + -6) + 4 = (x + 2) + -4 Reorder the terms: 5(-6 + x) + 4 = (x + 2) + -4 (-6 * 5 + x * 5) + 4 = (x + 2) + -4 (-30 + 5x) + 4 = (x + 2) + -4 Reorder the terms: -30 + 4 + 5x = (x + 2) + -4 Combine like terms: -30 + 4 = -26 -26 + 5x = (x + 2) + -4 Reorder the terms: -26 + 5x = (2 + x) + -4 Remove parenthesis around (2 + x) -26 + 5x = 2 + x + -4 Reorder the terms: -26 + 5x = 2 + -4 + x Combine like terms: 2 + -4 = -2 -26 + 5x = -2 + x Solving -26 + 5x = -2 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -26 + 5x + -1x = -2 + x + -1x Combine like terms: 5x + -1x = 4x -26 + 4x = -2 + x + -1x Combine like terms: x + -1x = 0 -26 + 4x = -2 + 0 -26 + 4x = -2 Add '26' to each side of the equation. -26 + 26 + 4x = -2 + 26 Combine like terms: -26 + 26 = 0 0 + 4x = -2 + 26 4x = -2 + 26 Combine like terms: -2 + 26 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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