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Simplifying 6x + 14 = 5(3x + 8) Reorder the terms: 14 + 6x = 5(3x + 8) Reorder the terms: 14 + 6x = 5(8 + 3x) 14 + 6x = (8 * 5 + 3x * 5) 14 + 6x = (40 + 15x) Solving 14 + 6x = 40 + 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. 14 + 6x + -15x = 40 + 15x + -15x Combine like terms: 6x + -15x = -9x 14 + -9x = 40 + 15x + -15x Combine like terms: 15x + -15x = 0 14 + -9x = 40 + 0 14 + -9x = 40 Add '-14' to each side of the equation. 14 + -14 + -9x = 40 + -14 Combine like terms: 14 + -14 = 0 0 + -9x = 40 + -14 -9x = 40 + -14 Combine like terms: 40 + -14 = 26 -9x = 26 Divide each side by '-9'. x = -2.888888889 Simplifying x = -2.888888889
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