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Simplifying 2x + -33 = 5(4x + -1) + -10 Reorder the terms: -33 + 2x = 5(4x + -1) + -10 Reorder the terms: -33 + 2x = 5(-1 + 4x) + -10 -33 + 2x = (-1 * 5 + 4x * 5) + -10 -33 + 2x = (-5 + 20x) + -10 Reorder the terms: -33 + 2x = -5 + -10 + 20x Combine like terms: -5 + -10 = -15 -33 + 2x = -15 + 20x Solving -33 + 2x = -15 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -33 + 2x + -20x = -15 + 20x + -20x Combine like terms: 2x + -20x = -18x -33 + -18x = -15 + 20x + -20x Combine like terms: 20x + -20x = 0 -33 + -18x = -15 + 0 -33 + -18x = -15 Add '33' to each side of the equation. -33 + 33 + -18x = -15 + 33 Combine like terms: -33 + 33 = 0 0 + -18x = -15 + 33 -18x = -15 + 33 Combine like terms: -15 + 33 = 18 -18x = 18 Divide each side by '-18'. x = -1 Simplifying x = -1
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