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Simplifying x + -4(7x + -21) = 6 + -1(x + -4) Reorder the terms: x + -4(-21 + 7x) = 6 + -1(x + -4) x + (-21 * -4 + 7x * -4) = 6 + -1(x + -4) x + (84 + -28x) = 6 + -1(x + -4) Reorder the terms: 84 + x + -28x = 6 + -1(x + -4) Combine like terms: x + -28x = -27x 84 + -27x = 6 + -1(x + -4) Reorder the terms: 84 + -27x = 6 + -1(-4 + x) 84 + -27x = 6 + (-4 * -1 + x * -1) 84 + -27x = 6 + (4 + -1x) Combine like terms: 6 + 4 = 10 84 + -27x = 10 + -1x Solving 84 + -27x = 10 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 84 + -27x + x = 10 + -1x + x Combine like terms: -27x + x = -26x 84 + -26x = 10 + -1x + x Combine like terms: -1x + x = 0 84 + -26x = 10 + 0 84 + -26x = 10 Add '-84' to each side of the equation. 84 + -84 + -26x = 10 + -84 Combine like terms: 84 + -84 = 0 0 + -26x = 10 + -84 -26x = 10 + -84 Combine like terms: 10 + -84 = -74 -26x = -74 Divide each side by '-26'. x = 2.846153846 Simplifying x = 2.846153846
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