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Simplifying 3 + 4(2x + -1) = 3(x + 5 + -2) Reorder the terms: 3 + 4(-1 + 2x) = 3(x + 5 + -2) 3 + (-1 * 4 + 2x * 4) = 3(x + 5 + -2) 3 + (-4 + 8x) = 3(x + 5 + -2) Combine like terms: 3 + -4 = -1 -1 + 8x = 3(x + 5 + -2) Reorder the terms: -1 + 8x = 3(5 + -2 + x) Combine like terms: 5 + -2 = 3 -1 + 8x = 3(3 + x) -1 + 8x = (3 * 3 + x * 3) -1 + 8x = (9 + 3x) Solving -1 + 8x = 9 + 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. -1 + 8x + -3x = 9 + 3x + -3x Combine like terms: 8x + -3x = 5x -1 + 5x = 9 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + 5x = 9 + 0 -1 + 5x = 9 Add '1' to each side of the equation. -1 + 1 + 5x = 9 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = 9 + 1 5x = 9 + 1 Combine like terms: 9 + 1 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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