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Simplifying 3x + 14 = 5(x + -16) Reorder the terms: 14 + 3x = 5(x + -16) Reorder the terms: 14 + 3x = 5(-16 + x) 14 + 3x = (-16 * 5 + x * 5) 14 + 3x = (-80 + 5x) Solving 14 + 3x = -80 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 14 + 3x + -5x = -80 + 5x + -5x Combine like terms: 3x + -5x = -2x 14 + -2x = -80 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + -2x = -80 + 0 14 + -2x = -80 Add '-14' to each side of the equation. 14 + -14 + -2x = -80 + -14 Combine like terms: 14 + -14 = 0 0 + -2x = -80 + -14 -2x = -80 + -14 Combine like terms: -80 + -14 = -94 -2x = -94 Divide each side by '-2'. x = 47 Simplifying x = 47
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