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Simplifying 5(3x + -2) = 3(2x + 1) + 2x + 1 Reorder the terms: 5(-2 + 3x) = 3(2x + 1) + 2x + 1 (-2 * 5 + 3x * 5) = 3(2x + 1) + 2x + 1 (-10 + 15x) = 3(2x + 1) + 2x + 1 Reorder the terms: -10 + 15x = 3(1 + 2x) + 2x + 1 -10 + 15x = (1 * 3 + 2x * 3) + 2x + 1 -10 + 15x = (3 + 6x) + 2x + 1 Reorder the terms: -10 + 15x = 3 + 1 + 6x + 2x Combine like terms: 3 + 1 = 4 -10 + 15x = 4 + 6x + 2x Combine like terms: 6x + 2x = 8x -10 + 15x = 4 + 8x Solving -10 + 15x = 4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -10 + 15x + -8x = 4 + 8x + -8x Combine like terms: 15x + -8x = 7x -10 + 7x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 -10 + 7x = 4 + 0 -10 + 7x = 4 Add '10' to each side of the equation. -10 + 10 + 7x = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 7x = 4 + 10 7x = 4 + 10 Combine like terms: 4 + 10 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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