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Simplifying 5(3x + -2) = (3x + 4) Reorder the terms: 5(-2 + 3x) = (3x + 4) (-2 * 5 + 3x * 5) = (3x + 4) (-10 + 15x) = (3x + 4) Reorder the terms: -10 + 15x = (4 + 3x) Remove parenthesis around (4 + 3x) -10 + 15x = 4 + 3x Solving -10 + 15x = 4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + 15x + -3x = 4 + 3x + -3x Combine like terms: 15x + -3x = 12x -10 + 12x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 12x = 4 + 0 -10 + 12x = 4 Add '10' to each side of the equation. -10 + 10 + 12x = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 12x = 4 + 10 12x = 4 + 10 Combine like terms: 4 + 10 = 14 12x = 14 Divide each side by '12'. x = 1.166666667 Simplifying x = 1.166666667
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