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Simplifying 2 + 5x + 15 + -3x + 12 = x + 4x + 8 Reorder the terms: 2 + 15 + 12 + 5x + -3x = x + 4x + 8 Combine like terms: 2 + 15 = 17 17 + 12 + 5x + -3x = x + 4x + 8 Combine like terms: 17 + 12 = 29 29 + 5x + -3x = x + 4x + 8 Combine like terms: 5x + -3x = 2x 29 + 2x = x + 4x + 8 Reorder the terms: 29 + 2x = 8 + x + 4x Combine like terms: x + 4x = 5x 29 + 2x = 8 + 5x Solving 29 + 2x = 8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 29 + 2x + -5x = 8 + 5x + -5x Combine like terms: 2x + -5x = -3x 29 + -3x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 29 + -3x = 8 + 0 29 + -3x = 8 Add '-29' to each side of the equation. 29 + -29 + -3x = 8 + -29 Combine like terms: 29 + -29 = 0 0 + -3x = 8 + -29 -3x = 8 + -29 Combine like terms: 8 + -29 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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