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Simplifying 1 + 5x + 5x = 14 + 3x + -6x Combine like terms: 5x + 5x = 10x 1 + 10x = 14 + 3x + -6x Combine like terms: 3x + -6x = -3x 1 + 10x = 14 + -3x Solving 1 + 10x = 14 + -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 + 10x + 3x = 14 + -3x + 3x Combine like terms: 10x + 3x = 13x 1 + 13x = 14 + -3x + 3x Combine like terms: -3x + 3x = 0 1 + 13x = 14 + 0 1 + 13x = 14 Add '-1' to each side of the equation. 1 + -1 + 13x = 14 + -1 Combine like terms: 1 + -1 = 0 0 + 13x = 14 + -1 13x = 14 + -1 Combine like terms: 14 + -1 = 13 13x = 13 Divide each side by '13'. x = 1 Simplifying x = 1
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