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Simplifying 3x + 15 + 5x + -12 = 4x + 31 Reorder the terms: 15 + -12 + 3x + 5x = 4x + 31 Combine like terms: 15 + -12 = 3 3 + 3x + 5x = 4x + 31 Combine like terms: 3x + 5x = 8x 3 + 8x = 4x + 31 Reorder the terms: 3 + 8x = 31 + 4x Solving 3 + 8x = 31 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + 8x + -4x = 31 + 4x + -4x Combine like terms: 8x + -4x = 4x 3 + 4x = 31 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + 4x = 31 + 0 3 + 4x = 31 Add '-3' to each side of the equation. 3 + -3 + 4x = 31 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 31 + -3 4x = 31 + -3 Combine like terms: 31 + -3 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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