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Simplifying 3(x + 4) = 4(x + 1) Reorder the terms: 3(4 + x) = 4(x + 1) (4 * 3 + x * 3) = 4(x + 1) (12 + 3x) = 4(x + 1) Reorder the terms: 12 + 3x = 4(1 + x) 12 + 3x = (1 * 4 + x * 4) 12 + 3x = (4 + 4x) Solving 12 + 3x = 4 + 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. 12 + 3x + -4x = 4 + 4x + -4x Combine like terms: 3x + -4x = -1x 12 + -1x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -1x = 4 + 0 12 + -1x = 4 Add '-12' to each side of the equation. 12 + -12 + -1x = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 4 + -12 -1x = 4 + -12 Combine like terms: 4 + -12 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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