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Simplifying 4[x + 4(6 + -1x)] = 2x + 1 4[x + (6 * 4 + -1x * 4)] = 2x + 1 4[x + (24 + -4x)] = 2x + 1 Reorder the terms: 4[24 + x + -4x] = 2x + 1 Combine like terms: x + -4x = -3x 4[24 + -3x] = 2x + 1 [24 * 4 + -3x * 4] = 2x + 1 [96 + -12x] = 2x + 1 Reorder the terms: 96 + -12x = 1 + 2x Solving 96 + -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. 96 + -12x + -2x = 1 + 2x + -2x Combine like terms: -12x + -2x = -14x 96 + -14x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 96 + -14x = 1 + 0 96 + -14x = 1 Add '-96' to each side of the equation. 96 + -96 + -14x = 1 + -96 Combine like terms: 96 + -96 = 0 0 + -14x = 1 + -96 -14x = 1 + -96 Combine like terms: 1 + -96 = -95 -14x = -95 Divide each side by '-14'. x = 6.785714286 Simplifying x = 6.785714286
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