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Simplifying 4x + 9 + 2x + -5 = 8x + 15 + -5x + 12 Reorder the terms: 9 + -5 + 4x + 2x = 8x + 15 + -5x + 12 Combine like terms: 9 + -5 = 4 4 + 4x + 2x = 8x + 15 + -5x + 12 Combine like terms: 4x + 2x = 6x 4 + 6x = 8x + 15 + -5x + 12 Reorder the terms: 4 + 6x = 15 + 12 + 8x + -5x Combine like terms: 15 + 12 = 27 4 + 6x = 27 + 8x + -5x Combine like terms: 8x + -5x = 3x 4 + 6x = 27 + 3x Solving 4 + 6x = 27 + 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. 4 + 6x + -3x = 27 + 3x + -3x Combine like terms: 6x + -3x = 3x 4 + 3x = 27 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 3x = 27 + 0 4 + 3x = 27 Add '-4' to each side of the equation. 4 + -4 + 3x = 27 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 27 + -4 3x = 27 + -4 Combine like terms: 27 + -4 = 23 3x = 23 Divide each side by '3'. x = 7.666666667 Simplifying x = 7.666666667
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