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Simplifying 5x + 9 + -8x + 10x + -5 = 2x + 12 + -1x + 21 Reorder the terms: 9 + -5 + 5x + -8x + 10x = 2x + 12 + -1x + 21 Combine like terms: 9 + -5 = 4 4 + 5x + -8x + 10x = 2x + 12 + -1x + 21 Combine like terms: 5x + -8x = -3x 4 + -3x + 10x = 2x + 12 + -1x + 21 Combine like terms: -3x + 10x = 7x 4 + 7x = 2x + 12 + -1x + 21 Reorder the terms: 4 + 7x = 12 + 21 + 2x + -1x Combine like terms: 12 + 21 = 33 4 + 7x = 33 + 2x + -1x Combine like terms: 2x + -1x = 1x 4 + 7x = 33 + 1x Solving 4 + 7x = 33 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4 + 7x + -1x = 33 + 1x + -1x Combine like terms: 7x + -1x = 6x 4 + 6x = 33 + 1x + -1x Combine like terms: 1x + -1x = 0 4 + 6x = 33 + 0 4 + 6x = 33 Add '-4' to each side of the equation. 4 + -4 + 6x = 33 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = 33 + -4 6x = 33 + -4 Combine like terms: 33 + -4 = 29 6x = 29 Divide each side by '6'. x = 4.833333333 Simplifying x = 4.833333333
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