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