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Simplifying 5x + 9 + -8 + 10x + -5 = 2x + 12 + -1x + 21 Reorder the terms: 9 + -8 + -5 + 5x + 10x = 2x + 12 + -1x + 21 Combine like terms: 9 + -8 = 1 1 + -5 + 5x + 10x = 2x + 12 + -1x + 21 Combine like terms: 1 + -5 = -4 -4 + 5x + 10x = 2x + 12 + -1x + 21 Combine like terms: 5x + 10x = 15x -4 + 15x = 2x + 12 + -1x + 21 Reorder the terms: -4 + 15x = 12 + 21 + 2x + -1x Combine like terms: 12 + 21 = 33 -4 + 15x = 33 + 2x + -1x Combine like terms: 2x + -1x = 1x -4 + 15x = 33 + 1x Solving -4 + 15x = 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 + 15x + -1x = 33 + 1x + -1x Combine like terms: 15x + -1x = 14x -4 + 14x = 33 + 1x + -1x Combine like terms: 1x + -1x = 0 -4 + 14x = 33 + 0 -4 + 14x = 33 Add '4' to each side of the equation. -4 + 4 + 14x = 33 + 4 Combine like terms: -4 + 4 = 0 0 + 14x = 33 + 4 14x = 33 + 4 Combine like terms: 33 + 4 = 37 14x = 37 Divide each side by '14'. x = 2.642857143 Simplifying x = 2.642857143
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