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Simplifying 3x + 15 + -2x = 8 + 3x + -5 Reorder the terms: 15 + 3x + -2x = 8 + 3x + -5 Combine like terms: 3x + -2x = 1x 15 + 1x = 8 + 3x + -5 Reorder the terms: 15 + 1x = 8 + -5 + 3x Combine like terms: 8 + -5 = 3 15 + 1x = 3 + 3x Solving 15 + 1x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 15 + 1x + -3x = 3 + 3x + -3x Combine like terms: 1x + -3x = -2x 15 + -2x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + -2x = 3 + 0 15 + -2x = 3 Add '-15' to each side of the equation. 15 + -15 + -2x = 3 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 3 + -15 -2x = 3 + -15 Combine like terms: 3 + -15 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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