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Simplifying 8(9x + -10) + 10 = 7x + 6 Reorder the terms: 8(-10 + 9x) + 10 = 7x + 6 (-10 * 8 + 9x * 8) + 10 = 7x + 6 (-80 + 72x) + 10 = 7x + 6 Reorder the terms: -80 + 10 + 72x = 7x + 6 Combine like terms: -80 + 10 = -70 -70 + 72x = 7x + 6 Reorder the terms: -70 + 72x = 6 + 7x Solving -70 + 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. -70 + 72x + -7x = 6 + 7x + -7x Combine like terms: 72x + -7x = 65x -70 + 65x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 -70 + 65x = 6 + 0 -70 + 65x = 6 Add '70' to each side of the equation. -70 + 70 + 65x = 6 + 70 Combine like terms: -70 + 70 = 0 0 + 65x = 6 + 70 65x = 6 + 70 Combine like terms: 6 + 70 = 76 65x = 76 Divide each side by '65'. x = 1.169230769 Simplifying x = 1.169230769
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