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Simplifying 3(2x + -1(5x + 1)) = 4(-3x + 2) + 1 Reorder the terms: 3(2x + -1(1 + 5x)) = 4(-3x + 2) + 1 3(2x + (1 * -1 + 5x * -1)) = 4(-3x + 2) + 1 3(2x + (-1 + -5x)) = 4(-3x + 2) + 1 Reorder the terms: 3(-1 + 2x + -5x) = 4(-3x + 2) + 1 Combine like terms: 2x + -5x = -3x 3(-1 + -3x) = 4(-3x + 2) + 1 (-1 * 3 + -3x * 3) = 4(-3x + 2) + 1 (-3 + -9x) = 4(-3x + 2) + 1 Reorder the terms: -3 + -9x = 4(2 + -3x) + 1 -3 + -9x = (2 * 4 + -3x * 4) + 1 -3 + -9x = (8 + -12x) + 1 Reorder the terms: -3 + -9x = 8 + 1 + -12x Combine like terms: 8 + 1 = 9 -3 + -9x = 9 + -12x Solving -3 + -9x = 9 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -3 + -9x + 12x = 9 + -12x + 12x Combine like terms: -9x + 12x = 3x -3 + 3x = 9 + -12x + 12x Combine like terms: -12x + 12x = 0 -3 + 3x = 9 + 0 -3 + 3x = 9 Add '3' to each side of the equation. -3 + 3 + 3x = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = 9 + 3 3x = 9 + 3 Combine like terms: 9 + 3 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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