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Simplifying 2(3x + -4) = 3(x + 1) + 1 Reorder the terms: 2(-4 + 3x) = 3(x + 1) + 1 (-4 * 2 + 3x * 2) = 3(x + 1) + 1 (-8 + 6x) = 3(x + 1) + 1 Reorder the terms: -8 + 6x = 3(1 + x) + 1 -8 + 6x = (1 * 3 + x * 3) + 1 -8 + 6x = (3 + 3x) + 1 Reorder the terms: -8 + 6x = 3 + 1 + 3x Combine like terms: 3 + 1 = 4 -8 + 6x = 4 + 3x Solving -8 + 6x = 4 + 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. -8 + 6x + -3x = 4 + 3x + -3x Combine like terms: 6x + -3x = 3x -8 + 3x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + 3x = 4 + 0 -8 + 3x = 4 Add '8' to each side of the equation. -8 + 8 + 3x = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 4 + 8 3x = 4 + 8 Combine like terms: 4 + 8 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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