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Simplifying 10x + -15x + -13 = 2x + 33 Reorder the terms: -13 + 10x + -15x = 2x + 33 Combine like terms: 10x + -15x = -5x -13 + -5x = 2x + 33 Reorder the terms: -13 + -5x = 33 + 2x Solving -13 + -5x = 33 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -13 + -5x + -2x = 33 + 2x + -2x Combine like terms: -5x + -2x = -7x -13 + -7x = 33 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + -7x = 33 + 0 -13 + -7x = 33 Add '13' to each side of the equation. -13 + 13 + -7x = 33 + 13 Combine like terms: -13 + 13 = 0 0 + -7x = 33 + 13 -7x = 33 + 13 Combine like terms: 33 + 13 = 46 -7x = 46 Divide each side by '-7'. x = -6.571428571 Simplifying x = -6.571428571
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