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Simplifying 2x + -6 + -2(3x + -5) = 3(5 + -5x) + -33 Reorder the terms: 2x + -6 + -2(-5 + 3x) = 3(5 + -5x) + -33 2x + -6 + (-5 * -2 + 3x * -2) = 3(5 + -5x) + -33 2x + -6 + (10 + -6x) = 3(5 + -5x) + -33 Reorder the terms: -6 + 10 + 2x + -6x = 3(5 + -5x) + -33 Combine like terms: -6 + 10 = 4 4 + 2x + -6x = 3(5 + -5x) + -33 Combine like terms: 2x + -6x = -4x 4 + -4x = 3(5 + -5x) + -33 4 + -4x = (5 * 3 + -5x * 3) + -33 4 + -4x = (15 + -15x) + -33 Reorder the terms: 4 + -4x = 15 + -33 + -15x Combine like terms: 15 + -33 = -18 4 + -4x = -18 + -15x Solving 4 + -4x = -18 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 4 + -4x + 15x = -18 + -15x + 15x Combine like terms: -4x + 15x = 11x 4 + 11x = -18 + -15x + 15x Combine like terms: -15x + 15x = 0 4 + 11x = -18 + 0 4 + 11x = -18 Add '-4' to each side of the equation. 4 + -4 + 11x = -18 + -4 Combine like terms: 4 + -4 = 0 0 + 11x = -18 + -4 11x = -18 + -4 Combine like terms: -18 + -4 = -22 11x = -22 Divide each side by '11'. x = -2 Simplifying x = -2
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