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Simplifying 5(7x + -2) + 4(-2 + 8x) = -24 + 68 Reorder the terms: 5(-2 + 7x) + 4(-2 + 8x) = -24 + 68 (-2 * 5 + 7x * 5) + 4(-2 + 8x) = -24 + 68 (-10 + 35x) + 4(-2 + 8x) = -24 + 68 -10 + 35x + (-2 * 4 + 8x * 4) = -24 + 68 -10 + 35x + (-8 + 32x) = -24 + 68 Reorder the terms: -10 + -8 + 35x + 32x = -24 + 68 Combine like terms: -10 + -8 = -18 -18 + 35x + 32x = -24 + 68 Combine like terms: 35x + 32x = 67x -18 + 67x = -24 + 68 Combine like terms: -24 + 68 = 44 -18 + 67x = 44 Solving -18 + 67x = 44 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 67x = 44 + 18 Combine like terms: -18 + 18 = 0 0 + 67x = 44 + 18 67x = 44 + 18 Combine like terms: 44 + 18 = 62 67x = 62 Divide each side by '67'. x = 0.9253731343 Simplifying x = 0.9253731343
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