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Simplifying 13 + 3x + -9 = 10x + -14 + -5 Reorder the terms: 13 + -9 + 3x = 10x + -14 + -5 Combine like terms: 13 + -9 = 4 4 + 3x = 10x + -14 + -5 Reorder the terms: 4 + 3x = -14 + -5 + 10x Combine like terms: -14 + -5 = -19 4 + 3x = -19 + 10x Solving 4 + 3x = -19 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 4 + 3x + -10x = -19 + 10x + -10x Combine like terms: 3x + -10x = -7x 4 + -7x = -19 + 10x + -10x Combine like terms: 10x + -10x = 0 4 + -7x = -19 + 0 4 + -7x = -19 Add '-4' to each side of the equation. 4 + -4 + -7x = -19 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = -19 + -4 -7x = -19 + -4 Combine like terms: -19 + -4 = -23 -7x = -23 Divide each side by '-7'. x = 3.285714286 Simplifying x = 3.285714286
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