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Simplifying 3x + 5 + -5x = -12 + x + 2 Reorder the terms: 5 + 3x + -5x = -12 + x + 2 Combine like terms: 3x + -5x = -2x 5 + -2x = -12 + x + 2 Reorder the terms: 5 + -2x = -12 + 2 + x Combine like terms: -12 + 2 = -10 5 + -2x = -10 + x Solving 5 + -2x = -10 + 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. 5 + -2x + -1x = -10 + x + -1x Combine like terms: -2x + -1x = -3x 5 + -3x = -10 + x + -1x Combine like terms: x + -1x = 0 5 + -3x = -10 + 0 5 + -3x = -10 Add '-5' to each side of the equation. 5 + -5 + -3x = -10 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = -10 + -5 -3x = -10 + -5 Combine like terms: -10 + -5 = -15 -3x = -15 Divide each side by '-3'. x = 5 Simplifying x = 5
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