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Simplifying 3 + -4x = 5(x + 6) Reorder the terms: 3 + -4x = 5(6 + x) 3 + -4x = (6 * 5 + x * 5) 3 + -4x = (30 + 5x) Solving 3 + -4x = 30 + 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. 3 + -4x + -5x = 30 + 5x + -5x Combine like terms: -4x + -5x = -9x 3 + -9x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + -9x = 30 + 0 3 + -9x = 30 Add '-3' to each side of the equation. 3 + -3 + -9x = 30 + -3 Combine like terms: 3 + -3 = 0 0 + -9x = 30 + -3 -9x = 30 + -3 Combine like terms: 30 + -3 = 27 -9x = 27 Divide each side by '-9'. x = -3 Simplifying x = -3
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