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Simplifying 7 + 2(3x + -3) = 5x + 1 Reorder the terms: 7 + 2(-3 + 3x) = 5x + 1 7 + (-3 * 2 + 3x * 2) = 5x + 1 7 + (-6 + 6x) = 5x + 1 Combine like terms: 7 + -6 = 1 1 + 6x = 5x + 1 Reorder the terms: 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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