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Simplifying 8(9x + -20) + 10 = 7x + 6 Reorder the terms: 8(-20 + 9x) + 10 = 7x + 6 (-20 * 8 + 9x * 8) + 10 = 7x + 6 (-160 + 72x) + 10 = 7x + 6 Reorder the terms: -160 + 10 + 72x = 7x + 6 Combine like terms: -160 + 10 = -150 -150 + 72x = 7x + 6 Reorder the terms: -150 + 72x = 6 + 7x Solving -150 + 72x = 6 + 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. -150 + 72x + -7x = 6 + 7x + -7x Combine like terms: 72x + -7x = 65x -150 + 65x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 -150 + 65x = 6 + 0 -150 + 65x = 6 Add '150' to each side of the equation. -150 + 150 + 65x = 6 + 150 Combine like terms: -150 + 150 = 0 0 + 65x = 6 + 150 65x = 6 + 150 Combine like terms: 6 + 150 = 156 65x = 156 Divide each side by '65'. x = 2.4 Simplifying x = 2.4
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