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Simplifying 33(4x + 3) = 2x + -5(3 + -1x) + 2 Reorder the terms: 33(3 + 4x) = 2x + -5(3 + -1x) + 2 (3 * 33 + 4x * 33) = 2x + -5(3 + -1x) + 2 (99 + 132x) = 2x + -5(3 + -1x) + 2 99 + 132x = 2x + (3 * -5 + -1x * -5) + 2 99 + 132x = 2x + (-15 + 5x) + 2 Reorder the terms: 99 + 132x = -15 + 2 + 2x + 5x Combine like terms: -15 + 2 = -13 99 + 132x = -13 + 2x + 5x Combine like terms: 2x + 5x = 7x 99 + 132x = -13 + 7x Solving 99 + 132x = -13 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 99 + 132x + -7x = -13 + 7x + -7x Combine like terms: 132x + -7x = 125x 99 + 125x = -13 + 7x + -7x Combine like terms: 7x + -7x = 0 99 + 125x = -13 + 0 99 + 125x = -13 Add '-99' to each side of the equation. 99 + -99 + 125x = -13 + -99 Combine like terms: 99 + -99 = 0 0 + 125x = -13 + -99 125x = -13 + -99 Combine like terms: -13 + -99 = -112 125x = -112 Divide each side by '125'. x = -0.896 Simplifying x = -0.896
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