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Simplifying 5x + -5 + 2x + 6 = 6x + 10 + -3x + -14 Reorder the terms: -5 + 6 + 5x + 2x = 6x + 10 + -3x + -14 Combine like terms: -5 + 6 = 1 1 + 5x + 2x = 6x + 10 + -3x + -14 Combine like terms: 5x + 2x = 7x 1 + 7x = 6x + 10 + -3x + -14 Reorder the terms: 1 + 7x = 10 + -14 + 6x + -3x Combine like terms: 10 + -14 = -4 1 + 7x = -4 + 6x + -3x Combine like terms: 6x + -3x = 3x 1 + 7x = -4 + 3x Solving 1 + 7x = -4 + 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. 1 + 7x + -3x = -4 + 3x + -3x Combine like terms: 7x + -3x = 4x 1 + 4x = -4 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + 4x = -4 + 0 1 + 4x = -4 Add '-1' to each side of the equation. 1 + -1 + 4x = -4 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = -4 + -1 4x = -4 + -1 Combine like terms: -4 + -1 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25
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