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Simplifying 3x + 4(7x + -1) = 33x + 2 Reorder the terms: 3x + 4(-1 + 7x) = 33x + 2 3x + (-1 * 4 + 7x * 4) = 33x + 2 3x + (-4 + 28x) = 33x + 2 Reorder the terms: -4 + 3x + 28x = 33x + 2 Combine like terms: 3x + 28x = 31x -4 + 31x = 33x + 2 Reorder the terms: -4 + 31x = 2 + 33x Solving -4 + 31x = 2 + 33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33x' to each side of the equation. -4 + 31x + -33x = 2 + 33x + -33x Combine like terms: 31x + -33x = -2x -4 + -2x = 2 + 33x + -33x Combine like terms: 33x + -33x = 0 -4 + -2x = 2 + 0 -4 + -2x = 2 Add '4' to each side of the equation. -4 + 4 + -2x = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = 2 + 4 -2x = 2 + 4 Combine like terms: 2 + 4 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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