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Simplifying -2(3x + -3) = 5 + 2x + -7 Reorder the terms: -2(-3 + 3x) = 5 + 2x + -7 (-3 * -2 + 3x * -2) = 5 + 2x + -7 (6 + -6x) = 5 + 2x + -7 Reorder the terms: 6 + -6x = 5 + -7 + 2x Combine like terms: 5 + -7 = -2 6 + -6x = -2 + 2x Solving 6 + -6x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + -6x + -2x = -2 + 2x + -2x Combine like terms: -6x + -2x = -8x 6 + -8x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -8x = -2 + 0 6 + -8x = -2 Add '-6' to each side of the equation. 6 + -6 + -8x = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -8x = -2 + -6 -8x = -2 + -6 Combine like terms: -2 + -6 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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