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Simplifying 5(7x + -2) + 4(-2 + 8x) = -24 + 68x Reorder the terms: 5(-2 + 7x) + 4(-2 + 8x) = -24 + 68x (-2 * 5 + 7x * 5) + 4(-2 + 8x) = -24 + 68x (-10 + 35x) + 4(-2 + 8x) = -24 + 68x -10 + 35x + (-2 * 4 + 8x * 4) = -24 + 68x -10 + 35x + (-8 + 32x) = -24 + 68x Reorder the terms: -10 + -8 + 35x + 32x = -24 + 68x Combine like terms: -10 + -8 = -18 -18 + 35x + 32x = -24 + 68x Combine like terms: 35x + 32x = 67x -18 + 67x = -24 + 68x Solving -18 + 67x = -24 + 68x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-68x' to each side of the equation. -18 + 67x + -68x = -24 + 68x + -68x Combine like terms: 67x + -68x = -1x -18 + -1x = -24 + 68x + -68x Combine like terms: 68x + -68x = 0 -18 + -1x = -24 + 0 -18 + -1x = -24 Add '18' to each side of the equation. -18 + 18 + -1x = -24 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = -24 + 18 -1x = -24 + 18 Combine like terms: -24 + 18 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6
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