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Simplifying 5(3x + -2) = 3(x + 4) + 5 Reorder the terms: 5(-2 + 3x) = 3(x + 4) + 5 (-2 * 5 + 3x * 5) = 3(x + 4) + 5 (-10 + 15x) = 3(x + 4) + 5 Reorder the terms: -10 + 15x = 3(4 + x) + 5 -10 + 15x = (4 * 3 + x * 3) + 5 -10 + 15x = (12 + 3x) + 5 Reorder the terms: -10 + 15x = 12 + 5 + 3x Combine like terms: 12 + 5 = 17 -10 + 15x = 17 + 3x Solving -10 + 15x = 17 + 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 = 17 + 3x + -3x Combine like terms: 15x + -3x = 12x -10 + 12x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 12x = 17 + 0 -10 + 12x = 17 Add '10' to each side of the equation. -10 + 10 + 12x = 17 + 10 Combine like terms: -10 + 10 = 0 0 + 12x = 17 + 10 12x = 17 + 10 Combine like terms: 17 + 10 = 27 12x = 27 Divide each side by '12'. x = 2.25 Simplifying x = 2.25
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