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Simplifying 10x + 17 + -2 = 14x + -8 + 4x Reorder the terms: 17 + -2 + 10x = 14x + -8 + 4x Combine like terms: 17 + -2 = 15 15 + 10x = 14x + -8 + 4x Reorder the terms: 15 + 10x = -8 + 14x + 4x Combine like terms: 14x + 4x = 18x 15 + 10x = -8 + 18x Solving 15 + 10x = -8 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 15 + 10x + -18x = -8 + 18x + -18x Combine like terms: 10x + -18x = -8x 15 + -8x = -8 + 18x + -18x Combine like terms: 18x + -18x = 0 15 + -8x = -8 + 0 15 + -8x = -8 Add '-15' to each side of the equation. 15 + -15 + -8x = -8 + -15 Combine like terms: 15 + -15 = 0 0 + -8x = -8 + -15 -8x = -8 + -15 Combine like terms: -8 + -15 = -23 -8x = -23 Divide each side by '-8'. x = 2.875 Simplifying x = 2.875
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