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Simplifying 3(x + 8) + 3 = 7(x + 1) Reorder the terms: 3(8 + x) + 3 = 7(x + 1) (8 * 3 + x * 3) + 3 = 7(x + 1) (24 + 3x) + 3 = 7(x + 1) Reorder the terms: 24 + 3 + 3x = 7(x + 1) Combine like terms: 24 + 3 = 27 27 + 3x = 7(x + 1) Reorder the terms: 27 + 3x = 7(1 + x) 27 + 3x = (1 * 7 + x * 7) 27 + 3x = (7 + 7x) Solving 27 + 3x = 7 + 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. 27 + 3x + -7x = 7 + 7x + -7x Combine like terms: 3x + -7x = -4x 27 + -4x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 27 + -4x = 7 + 0 27 + -4x = 7 Add '-27' to each side of the equation. 27 + -27 + -4x = 7 + -27 Combine like terms: 27 + -27 = 0 0 + -4x = 7 + -27 -4x = 7 + -27 Combine like terms: 7 + -27 = -20 -4x = -20 Divide each side by '-4'. x = 5 Simplifying x = 5
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