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