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Simplifying 7[x + 3(6 + -1x)] = 2x + 1 7[x + (6 * 3 + -1x * 3)] = 2x + 1 7[x + (18 + -3x)] = 2x + 1 Reorder the terms: 7[18 + x + -3x] = 2x + 1 Combine like terms: x + -3x = -2x 7[18 + -2x] = 2x + 1 [18 * 7 + -2x * 7] = 2x + 1 [126 + -14x] = 2x + 1 Reorder the terms: 126 + -14x = 1 + 2x Solving 126 + -14x = 1 + 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. 126 + -14x + -2x = 1 + 2x + -2x Combine like terms: -14x + -2x = -16x 126 + -16x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 126 + -16x = 1 + 0 126 + -16x = 1 Add '-126' to each side of the equation. 126 + -126 + -16x = 1 + -126 Combine like terms: 126 + -126 = 0 0 + -16x = 1 + -126 -16x = 1 + -126 Combine like terms: 1 + -126 = -125 -16x = -125 Divide each side by '-16'. x = 7.8125 Simplifying x = 7.8125
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