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Simplifying 7[x + 3(4 + -1x)] = 4x + 1 7[x + (4 * 3 + -1x * 3)] = 4x + 1 7[x + (12 + -3x)] = 4x + 1 Reorder the terms: 7[12 + x + -3x] = 4x + 1 Combine like terms: x + -3x = -2x 7[12 + -2x] = 4x + 1 [12 * 7 + -2x * 7] = 4x + 1 [84 + -14x] = 4x + 1 Reorder the terms: 84 + -14x = 1 + 4x Solving 84 + -14x = 1 + 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. 84 + -14x + -4x = 1 + 4x + -4x Combine like terms: -14x + -4x = -18x 84 + -18x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 84 + -18x = 1 + 0 84 + -18x = 1 Add '-84' to each side of the equation. 84 + -84 + -18x = 1 + -84 Combine like terms: 84 + -84 = 0 0 + -18x = 1 + -84 -18x = 1 + -84 Combine like terms: 1 + -84 = -83 -18x = -83 Divide each side by '-18'. x = 4.611111111 Simplifying x = 4.611111111
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