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Simplifying 7[x + 2(5 + -1x)] = 4x + 1 7[x + (5 * 2 + -1x * 2)] = 4x + 1 7[x + (10 + -2x)] = 4x + 1 Reorder the terms: 7[10 + x + -2x] = 4x + 1 Combine like terms: x + -2x = -1x 7[10 + -1x] = 4x + 1 [10 * 7 + -1x * 7] = 4x + 1 [70 + -7x] = 4x + 1 Reorder the terms: 70 + -7x = 1 + 4x Solving 70 + -7x = 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. 70 + -7x + -4x = 1 + 4x + -4x Combine like terms: -7x + -4x = -11x 70 + -11x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 70 + -11x = 1 + 0 70 + -11x = 1 Add '-70' to each side of the equation. 70 + -70 + -11x = 1 + -70 Combine like terms: 70 + -70 = 0 0 + -11x = 1 + -70 -11x = 1 + -70 Combine like terms: 1 + -70 = -69 -11x = -69 Divide each side by '-11'. x = 6.272727273 Simplifying x = 6.272727273
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