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