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Simplifying -2(3x + -3) + -6 = -3(5x + 1) + -3 Reorder the terms: -2(-3 + 3x) + -6 = -3(5x + 1) + -3 (-3 * -2 + 3x * -2) + -6 = -3(5x + 1) + -3 (6 + -6x) + -6 = -3(5x + 1) + -3 Reorder the terms: 6 + -6 + -6x = -3(5x + 1) + -3 Combine like terms: 6 + -6 = 0 0 + -6x = -3(5x + 1) + -3 -6x = -3(5x + 1) + -3 Reorder the terms: -6x = -3(1 + 5x) + -3 -6x = (1 * -3 + 5x * -3) + -3 -6x = (-3 + -15x) + -3 Reorder the terms: -6x = -3 + -3 + -15x Combine like terms: -3 + -3 = -6 -6x = -6 + -15x Solving -6x = -6 + -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. -6x + 15x = -6 + -15x + 15x Combine like terms: -6x + 15x = 9x 9x = -6 + -15x + 15x Combine like terms: -15x + 15x = 0 9x = -6 + 0 9x = -6 Divide each side by '9'. x = -0.6666666667 Simplifying x = -0.6666666667
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