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Simplifying 3(x + 1) = 4(x + 7) Reorder the terms: 3(1 + x) = 4(x + 7) (1 * 3 + x * 3) = 4(x + 7) (3 + 3x) = 4(x + 7) Reorder the terms: 3 + 3x = 4(7 + x) 3 + 3x = (7 * 4 + x * 4) 3 + 3x = (28 + 4x) Solving 3 + 3x = 28 + 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 = 28 + 4x + -4x Combine like terms: 3x + -4x = -1x 3 + -1x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -1x = 28 + 0 3 + -1x = 28 Add '-3' to each side of the equation. 3 + -3 + -1x = 28 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 28 + -3 -1x = 28 + -3 Combine like terms: 28 + -3 = 25 -1x = 25 Divide each side by '-1'. x = -25 Simplifying x = -25
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