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Simplifying 13 + -3x + 6 = 5x + -9 + 2x + -14 Reorder the terms: 13 + 6 + -3x = 5x + -9 + 2x + -14 Combine like terms: 13 + 6 = 19 19 + -3x = 5x + -9 + 2x + -14 Reorder the terms: 19 + -3x = -9 + -14 + 5x + 2x Combine like terms: -9 + -14 = -23 19 + -3x = -23 + 5x + 2x Combine like terms: 5x + 2x = 7x 19 + -3x = -23 + 7x Solving 19 + -3x = -23 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 19 + -3x + -7x = -23 + 7x + -7x Combine like terms: -3x + -7x = -10x 19 + -10x = -23 + 7x + -7x Combine like terms: 7x + -7x = 0 19 + -10x = -23 + 0 19 + -10x = -23 Add '-19' to each side of the equation. 19 + -19 + -10x = -23 + -19 Combine like terms: 19 + -19 = 0 0 + -10x = -23 + -19 -10x = -23 + -19 Combine like terms: -23 + -19 = -42 -10x = -42 Divide each side by '-10'. x = 4.2 Simplifying x = 4.2
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