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Simplifying 4[x + 4(5 + -1x)] = 2x + 1 4[x + (5 * 4 + -1x * 4)] = 2x + 1 4[x + (20 + -4x)] = 2x + 1 Reorder the terms: 4[20 + x + -4x] = 2x + 1 Combine like terms: x + -4x = -3x 4[20 + -3x] = 2x + 1 [20 * 4 + -3x * 4] = 2x + 1 [80 + -12x] = 2x + 1 Reorder the terms: 80 + -12x = 1 + 2x Solving 80 + -12x = 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. 80 + -12x + -2x = 1 + 2x + -2x Combine like terms: -12x + -2x = -14x 80 + -14x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 80 + -14x = 1 + 0 80 + -14x = 1 Add '-80' to each side of the equation. 80 + -80 + -14x = 1 + -80 Combine like terms: 80 + -80 = 0 0 + -14x = 1 + -80 -14x = 1 + -80 Combine like terms: 1 + -80 = -79 -14x = -79 Divide each side by '-14'. x = 5.642857143 Simplifying x = 5.642857143
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