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Simplifying 4x + -1(2x + 3) = 5x + -33 Reorder the terms: 4x + -1(3 + 2x) = 5x + -33 4x + (3 * -1 + 2x * -1) = 5x + -33 4x + (-3 + -2x) = 5x + -33 Reorder the terms: -3 + 4x + -2x = 5x + -33 Combine like terms: 4x + -2x = 2x -3 + 2x = 5x + -33 Reorder the terms: -3 + 2x = -33 + 5x Solving -3 + 2x = -33 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -3 + 2x + -5x = -33 + 5x + -5x Combine like terms: 2x + -5x = -3x -3 + -3x = -33 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -3x = -33 + 0 -3 + -3x = -33 Add '3' to each side of the equation. -3 + 3 + -3x = -33 + 3 Combine like terms: -3 + 3 = 0 0 + -3x = -33 + 3 -3x = -33 + 3 Combine like terms: -33 + 3 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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