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Simplifying 4x + -5(8x + -10) = -8(-1 + 7x) + -1x Reorder the terms: 4x + -5(-10 + 8x) = -8(-1 + 7x) + -1x 4x + (-10 * -5 + 8x * -5) = -8(-1 + 7x) + -1x 4x + (50 + -40x) = -8(-1 + 7x) + -1x Reorder the terms: 50 + 4x + -40x = -8(-1 + 7x) + -1x Combine like terms: 4x + -40x = -36x 50 + -36x = -8(-1 + 7x) + -1x 50 + -36x = (-1 * -8 + 7x * -8) + -1x 50 + -36x = (8 + -56x) + -1x Combine like terms: -56x + -1x = -57x 50 + -36x = 8 + -57x Solving 50 + -36x = 8 + -57x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '57x' to each side of the equation. 50 + -36x + 57x = 8 + -57x + 57x Combine like terms: -36x + 57x = 21x 50 + 21x = 8 + -57x + 57x Combine like terms: -57x + 57x = 0 50 + 21x = 8 + 0 50 + 21x = 8 Add '-50' to each side of the equation. 50 + -50 + 21x = 8 + -50 Combine like terms: 50 + -50 = 0 0 + 21x = 8 + -50 21x = 8 + -50 Combine like terms: 8 + -50 = -42 21x = -42 Divide each side by '21'. x = -2 Simplifying x = -2
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