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Simplifying 15x + 20 + -2x = 7x + -6x + 33 Reorder the terms: 20 + 15x + -2x = 7x + -6x + 33 Combine like terms: 15x + -2x = 13x 20 + 13x = 7x + -6x + 33 Reorder the terms: 20 + 13x = 33 + 7x + -6x Combine like terms: 7x + -6x = 1x 20 + 13x = 33 + 1x Solving 20 + 13x = 33 + 1x 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. 20 + 13x + -1x = 33 + 1x + -1x Combine like terms: 13x + -1x = 12x 20 + 12x = 33 + 1x + -1x Combine like terms: 1x + -1x = 0 20 + 12x = 33 + 0 20 + 12x = 33 Add '-20' to each side of the equation. 20 + -20 + 12x = 33 + -20 Combine like terms: 20 + -20 = 0 0 + 12x = 33 + -20 12x = 33 + -20 Combine like terms: 33 + -20 = 13 12x = 13 Divide each side by '12'. x = 1.083333333 Simplifying x = 1.083333333
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