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Simplifying 5(x + 6) = 4(x + 7) Reorder the terms: 5(6 + x) = 4(x + 7) (6 * 5 + x * 5) = 4(x + 7) (30 + 5x) = 4(x + 7) Reorder the terms: 30 + 5x = 4(7 + x) 30 + 5x = (7 * 4 + x * 4) 30 + 5x = (28 + 4x) Solving 30 + 5x = 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. 30 + 5x + -4x = 28 + 4x + -4x Combine like terms: 5x + -4x = 1x 30 + 1x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 30 + 1x = 28 + 0 30 + 1x = 28 Add '-30' to each side of the equation. 30 + -30 + 1x = 28 + -30 Combine like terms: 30 + -30 = 0 0 + 1x = 28 + -30 1x = 28 + -30 Combine like terms: 28 + -30 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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