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