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Simplifying 3(2x + -2) = 5x + 2 + -1(4x + -7) Reorder the terms: 3(-2 + 2x) = 5x + 2 + -1(4x + -7) (-2 * 3 + 2x * 3) = 5x + 2 + -1(4x + -7) (-6 + 6x) = 5x + 2 + -1(4x + -7) Reorder the terms: -6 + 6x = 5x + 2 + -1(-7 + 4x) -6 + 6x = 5x + 2 + (-7 * -1 + 4x * -1) -6 + 6x = 5x + 2 + (7 + -4x) Reorder the terms: -6 + 6x = 2 + 7 + 5x + -4x Combine like terms: 2 + 7 = 9 -6 + 6x = 9 + 5x + -4x Combine like terms: 5x + -4x = 1x -6 + 6x = 9 + 1x Solving -6 + 6x = 9 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + 6x + -1x = 9 + 1x + -1x Combine like terms: 6x + -1x = 5x -6 + 5x = 9 + 1x + -1x Combine like terms: 1x + -1x = 0 -6 + 5x = 9 + 0 -6 + 5x = 9 Add '6' to each side of the equation. -6 + 6 + 5x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 9 + 6 5x = 9 + 6 Combine like terms: 9 + 6 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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