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Simplifying 3(2x + -1) = 5(4 + -3x) + 1 Reorder the terms: 3(-1 + 2x) = 5(4 + -3x) + 1 (-1 * 3 + 2x * 3) = 5(4 + -3x) + 1 (-3 + 6x) = 5(4 + -3x) + 1 -3 + 6x = (4 * 5 + -3x * 5) + 1 -3 + 6x = (20 + -15x) + 1 Reorder the terms: -3 + 6x = 20 + 1 + -15x Combine like terms: 20 + 1 = 21 -3 + 6x = 21 + -15x Solving -3 + 6x = 21 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -3 + 6x + 15x = 21 + -15x + 15x Combine like terms: 6x + 15x = 21x -3 + 21x = 21 + -15x + 15x Combine like terms: -15x + 15x = 0 -3 + 21x = 21 + 0 -3 + 21x = 21 Add '3' to each side of the equation. -3 + 3 + 21x = 21 + 3 Combine like terms: -3 + 3 = 0 0 + 21x = 21 + 3 21x = 21 + 3 Combine like terms: 21 + 3 = 24 21x = 24 Divide each side by '21'. x = 1.142857143 Simplifying x = 1.142857143
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