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Simplifying -3(1 + -2x) + -3(5x + -5) = 21 (1 * -3 + -2x * -3) + -3(5x + -5) = 21 (-3 + 6x) + -3(5x + -5) = 21 Reorder the terms: -3 + 6x + -3(-5 + 5x) = 21 -3 + 6x + (-5 * -3 + 5x * -3) = 21 -3 + 6x + (15 + -15x) = 21 Reorder the terms: -3 + 15 + 6x + -15x = 21 Combine like terms: -3 + 15 = 12 12 + 6x + -15x = 21 Combine like terms: 6x + -15x = -9x 12 + -9x = 21 Solving 12 + -9x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -9x = 21 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = 21 + -12 -9x = 21 + -12 Combine like terms: 21 + -12 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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