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Simplifying 3(4 + 1x) = 5(x + 4) + 1 + -3x (4 * 3 + 1x * 3) = 5(x + 4) + 1 + -3x (12 + 3x) = 5(x + 4) + 1 + -3x Reorder the terms: 12 + 3x = 5(4 + x) + 1 + -3x 12 + 3x = (4 * 5 + x * 5) + 1 + -3x 12 + 3x = (20 + 5x) + 1 + -3x Reorder the terms: 12 + 3x = 20 + 1 + 5x + -3x Combine like terms: 20 + 1 = 21 12 + 3x = 21 + 5x + -3x Combine like terms: 5x + -3x = 2x 12 + 3x = 21 + 2x Solving 12 + 3x = 21 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12 + 3x + -2x = 21 + 2x + -2x Combine like terms: 3x + -2x = 1x 12 + 1x = 21 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 1x = 21 + 0 12 + 1x = 21 Add '-12' to each side of the equation. 12 + -12 + 1x = 21 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 21 + -12 1x = 21 + -12 Combine like terms: 21 + -12 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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