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Simplifying 5(3x + -2) + x = 3(2 + -1x) Reorder the terms: 5(-2 + 3x) + x = 3(2 + -1x) (-2 * 5 + 3x * 5) + x = 3(2 + -1x) (-10 + 15x) + x = 3(2 + -1x) Combine like terms: 15x + x = 16x -10 + 16x = 3(2 + -1x) -10 + 16x = (2 * 3 + -1x * 3) -10 + 16x = (6 + -3x) Solving -10 + 16x = 6 + -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 + 16x + 3x = 6 + -3x + 3x Combine like terms: 16x + 3x = 19x -10 + 19x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + 19x = 6 + 0 -10 + 19x = 6 Add '10' to each side of the equation. -10 + 10 + 19x = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 19x = 6 + 10 19x = 6 + 10 Combine like terms: 6 + 10 = 16 19x = 16 Divide each side by '19'. x = 0.8421052632 Simplifying x = 0.8421052632
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