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Simplifying 4x + -3x + 15 + 9x = 5x + -8x + 9x + 23 Reorder the terms: 15 + 4x + -3x + 9x = 5x + -8x + 9x + 23 Combine like terms: 4x + -3x = 1x 15 + 1x + 9x = 5x + -8x + 9x + 23 Combine like terms: 1x + 9x = 10x 15 + 10x = 5x + -8x + 9x + 23 Reorder the terms: 15 + 10x = 23 + 5x + -8x + 9x Combine like terms: 5x + -8x = -3x 15 + 10x = 23 + -3x + 9x Combine like terms: -3x + 9x = 6x 15 + 10x = 23 + 6x Solving 15 + 10x = 23 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 15 + 10x + -6x = 23 + 6x + -6x Combine like terms: 10x + -6x = 4x 15 + 4x = 23 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + 4x = 23 + 0 15 + 4x = 23 Add '-15' to each side of the equation. 15 + -15 + 4x = 23 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = 23 + -15 4x = 23 + -15 Combine like terms: 23 + -15 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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