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Simplifying 10 + 4x = (5x + -6) + 33 Reorder the terms: 10 + 4x = (-6 + 5x) + 33 Remove parenthesis around (-6 + 5x) 10 + 4x = -6 + 5x + 33 Reorder the terms: 10 + 4x = -6 + 33 + 5x Combine like terms: -6 + 33 = 27 10 + 4x = 27 + 5x Solving 10 + 4x = 27 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 10 + 4x + -5x = 27 + 5x + -5x Combine like terms: 4x + -5x = -1x 10 + -1x = 27 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + -1x = 27 + 0 10 + -1x = 27 Add '-10' to each side of the equation. 10 + -10 + -1x = 27 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 27 + -10 -1x = 27 + -10 Combine like terms: 27 + -10 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17
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