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Simplifying 15 + -3x + 7 = x + 12 + -2x Reorder the terms: 15 + 7 + -3x = x + 12 + -2x Combine like terms: 15 + 7 = 22 22 + -3x = x + 12 + -2x Reorder the terms: 22 + -3x = 12 + x + -2x Combine like terms: x + -2x = -1x 22 + -3x = 12 + -1x Solving 22 + -3x = 12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 22 + -3x + x = 12 + -1x + x Combine like terms: -3x + x = -2x 22 + -2x = 12 + -1x + x Combine like terms: -1x + x = 0 22 + -2x = 12 + 0 22 + -2x = 12 Add '-22' to each side of the equation. 22 + -22 + -2x = 12 + -22 Combine like terms: 22 + -22 = 0 0 + -2x = 12 + -22 -2x = 12 + -22 Combine like terms: 12 + -22 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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