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Simplifying 7[x + 4(3 + -1x)] = 3x + 1 7[x + (3 * 4 + -1x * 4)] = 3x + 1 7[x + (12 + -4x)] = 3x + 1 Reorder the terms: 7[12 + x + -4x] = 3x + 1 Combine like terms: x + -4x = -3x 7[12 + -3x] = 3x + 1 [12 * 7 + -3x * 7] = 3x + 1 [84 + -21x] = 3x + 1 Reorder the terms: 84 + -21x = 1 + 3x Solving 84 + -21x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 84 + -21x + -3x = 1 + 3x + -3x Combine like terms: -21x + -3x = -24x 84 + -24x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 84 + -24x = 1 + 0 84 + -24x = 1 Add '-84' to each side of the equation. 84 + -84 + -24x = 1 + -84 Combine like terms: 84 + -84 = 0 0 + -24x = 1 + -84 -24x = 1 + -84 Combine like terms: 1 + -84 = -83 -24x = -83 Divide each side by '-24'. x = 3.458333333 Simplifying x = 3.458333333
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