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Simplifying 7 = 2(3x + 1) + -1x Reorder the terms: 7 = 2(1 + 3x) + -1x 7 = (1 * 2 + 3x * 2) + -1x 7 = (2 + 6x) + -1x Combine like terms: 6x + -1x = 5x 7 = 2 + 5x Solving 7 = 2 + 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. 7 + -5x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -5x = 2 + 0 7 + -5x = 2 Add '-7' to each side of the equation. 7 + -7 + -5x = 2 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 2 + -7 -5x = 2 + -7 Combine like terms: 2 + -7 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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