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Simplifying 3x + -14 = 5(3x + 4) Reorder the terms: -14 + 3x = 5(3x + 4) Reorder the terms: -14 + 3x = 5(4 + 3x) -14 + 3x = (4 * 5 + 3x * 5) -14 + 3x = (20 + 15x) Solving -14 + 3x = 20 + 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 + 3x + -15x = 20 + 15x + -15x Combine like terms: 3x + -15x = -12x -14 + -12x = 20 + 15x + -15x Combine like terms: 15x + -15x = 0 -14 + -12x = 20 + 0 -14 + -12x = 20 Add '14' to each side of the equation. -14 + 14 + -12x = 20 + 14 Combine like terms: -14 + 14 = 0 0 + -12x = 20 + 14 -12x = 20 + 14 Combine like terms: 20 + 14 = 34 -12x = 34 Divide each side by '-12'. x = -2.833333333 Simplifying x = -2.833333333
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