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Simplifying 5(7x + -2) + 4(-2 + 8) = -24 + 68x Reorder the terms: 5(-2 + 7x) + 4(-2 + 8) = -24 + 68x (-2 * 5 + 7x * 5) + 4(-2 + 8) = -24 + 68x (-10 + 35x) + 4(-2 + 8) = -24 + 68x Combine like terms: -2 + 8 = 6 -10 + 35x + 4(6) = -24 + 68x Multiply 4 * 6 -10 + 35x + 24 = -24 + 68x Reorder the terms: -10 + 24 + 35x = -24 + 68x Combine like terms: -10 + 24 = 14 14 + 35x = -24 + 68x Solving 14 + 35x = -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. 14 + 35x + -68x = -24 + 68x + -68x Combine like terms: 35x + -68x = -33x 14 + -33x = -24 + 68x + -68x Combine like terms: 68x + -68x = 0 14 + -33x = -24 + 0 14 + -33x = -24 Add '-14' to each side of the equation. 14 + -14 + -33x = -24 + -14 Combine like terms: 14 + -14 = 0 0 + -33x = -24 + -14 -33x = -24 + -14 Combine like terms: -24 + -14 = -38 -33x = -38 Divide each side by '-33'. x = 1.151515152 Simplifying x = 1.151515152
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