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Simplifying -3(2x + 2) = -3(5x + -1) Reorder the terms: -3(2 + 2x) = -3(5x + -1) (2 * -3 + 2x * -3) = -3(5x + -1) (-6 + -6x) = -3(5x + -1) Reorder the terms: -6 + -6x = -3(-1 + 5x) -6 + -6x = (-1 * -3 + 5x * -3) -6 + -6x = (3 + -15x) Solving -6 + -6x = 3 + -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. -6 + -6x + 15x = 3 + -15x + 15x Combine like terms: -6x + 15x = 9x -6 + 9x = 3 + -15x + 15x Combine like terms: -15x + 15x = 0 -6 + 9x = 3 + 0 -6 + 9x = 3 Add '6' to each side of the equation. -6 + 6 + 9x = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 9x = 3 + 6 9x = 3 + 6 Combine like terms: 3 + 6 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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