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Simplifying -2x + -33 = 5(2x + 3) Reorder the terms: -33 + -2x = 5(2x + 3) Reorder the terms: -33 + -2x = 5(3 + 2x) -33 + -2x = (3 * 5 + 2x * 5) -33 + -2x = (15 + 10x) Solving -33 + -2x = 15 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -33 + -2x + -10x = 15 + 10x + -10x Combine like terms: -2x + -10x = -12x -33 + -12x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 -33 + -12x = 15 + 0 -33 + -12x = 15 Add '33' to each side of the equation. -33 + 33 + -12x = 15 + 33 Combine like terms: -33 + 33 = 0 0 + -12x = 15 + 33 -12x = 15 + 33 Combine like terms: 15 + 33 = 48 -12x = 48 Divide each side by '-12'. x = -4 Simplifying x = -4
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