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Simplifying 5[x + 3(2 + -1x)] = 4x + 1 5[x + (2 * 3 + -1x * 3)] = 4x + 1 5[x + (6 + -3x)] = 4x + 1 Reorder the terms: 5[6 + x + -3x] = 4x + 1 Combine like terms: x + -3x = -2x 5[6 + -2x] = 4x + 1 [6 * 5 + -2x * 5] = 4x + 1 [30 + -10x] = 4x + 1 Reorder the terms: 30 + -10x = 1 + 4x Solving 30 + -10x = 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. 30 + -10x + -4x = 1 + 4x + -4x Combine like terms: -10x + -4x = -14x 30 + -14x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 30 + -14x = 1 + 0 30 + -14x = 1 Add '-30' to each side of the equation. 30 + -30 + -14x = 1 + -30 Combine like terms: 30 + -30 = 0 0 + -14x = 1 + -30 -14x = 1 + -30 Combine like terms: 1 + -30 = -29 -14x = -29 Divide each side by '-14'. x = 2.071428571 Simplifying x = 2.071428571
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