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Simplifying 7[x + 4(5 + -1x)] = 2x + 1 7[x + (5 * 4 + -1x * 4)] = 2x + 1 7[x + (20 + -4x)] = 2x + 1 Reorder the terms: 7[20 + x + -4x] = 2x + 1 Combine like terms: x + -4x = -3x 7[20 + -3x] = 2x + 1 [20 * 7 + -3x * 7] = 2x + 1 [140 + -21x] = 2x + 1 Reorder the terms: 140 + -21x = 1 + 2x Solving 140 + -21x = 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. 140 + -21x + -2x = 1 + 2x + -2x Combine like terms: -21x + -2x = -23x 140 + -23x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 140 + -23x = 1 + 0 140 + -23x = 1 Add '-140' to each side of the equation. 140 + -140 + -23x = 1 + -140 Combine like terms: 140 + -140 = 0 0 + -23x = 1 + -140 -23x = 1 + -140 Combine like terms: 1 + -140 = -139 -23x = -139 Divide each side by '-23'. x = 6.043478261 Simplifying x = 6.043478261
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