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Simplifying 5 + -12x + 14 = 11 + -15x + 18 Reorder the terms: 5 + 14 + -12x = 11 + -15x + 18 Combine like terms: 5 + 14 = 19 19 + -12x = 11 + -15x + 18 Reorder the terms: 19 + -12x = 11 + 18 + -15x Combine like terms: 11 + 18 = 29 19 + -12x = 29 + -15x Solving 19 + -12x = 29 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 19 + -12x + 15x = 29 + -15x + 15x Combine like terms: -12x + 15x = 3x 19 + 3x = 29 + -15x + 15x Combine like terms: -15x + 15x = 0 19 + 3x = 29 + 0 19 + 3x = 29 Add '-19' to each side of the equation. 19 + -19 + 3x = 29 + -19 Combine like terms: 19 + -19 = 0 0 + 3x = 29 + -19 3x = 29 + -19 Combine like terms: 29 + -19 = 10 3x = 10 Divide each side by '3'. x = 3.333333333 Simplifying x = 3.333333333
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