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Simplifying 10x + -5 + -17x = -14 + 3x + -10 Reorder the terms: -5 + 10x + -17x = -14 + 3x + -10 Combine like terms: 10x + -17x = -7x -5 + -7x = -14 + 3x + -10 Reorder the terms: -5 + -7x = -14 + -10 + 3x Combine like terms: -14 + -10 = -24 -5 + -7x = -24 + 3x Solving -5 + -7x = -24 + 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. -5 + -7x + -3x = -24 + 3x + -3x Combine like terms: -7x + -3x = -10x -5 + -10x = -24 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + -10x = -24 + 0 -5 + -10x = -24 Add '5' to each side of the equation. -5 + 5 + -10x = -24 + 5 Combine like terms: -5 + 5 = 0 0 + -10x = -24 + 5 -10x = -24 + 5 Combine like terms: -24 + 5 = -19 -10x = -19 Divide each side by '-10'. x = 1.9 Simplifying x = 1.9
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