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Simplifying 5x + 5(1 + -8x) = -7x + -21 5x + (1 * 5 + -8x * 5) = -7x + -21 5x + (5 + -40x) = -7x + -21 Reorder the terms: 5 + 5x + -40x = -7x + -21 Combine like terms: 5x + -40x = -35x 5 + -35x = -7x + -21 Reorder the terms: 5 + -35x = -21 + -7x Solving 5 + -35x = -21 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 5 + -35x + 7x = -21 + -7x + 7x Combine like terms: -35x + 7x = -28x 5 + -28x = -21 + -7x + 7x Combine like terms: -7x + 7x = 0 5 + -28x = -21 + 0 5 + -28x = -21 Add '-5' to each side of the equation. 5 + -5 + -28x = -21 + -5 Combine like terms: 5 + -5 = 0 0 + -28x = -21 + -5 -28x = -21 + -5 Combine like terms: -21 + -5 = -26 -28x = -26 Divide each side by '-28'. x = 0.9285714286 Simplifying x = 0.9285714286
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