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Simplifying -7(x + 5) + -10 = 12 + 6 Reorder the terms: -7(5 + x) + -10 = 12 + 6 (5 * -7 + x * -7) + -10 = 12 + 6 (-35 + -7x) + -10 = 12 + 6 Reorder the terms: -35 + -10 + -7x = 12 + 6 Combine like terms: -35 + -10 = -45 -45 + -7x = 12 + 6 Combine like terms: 12 + 6 = 18 -45 + -7x = 18 Solving -45 + -7x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + -7x = 18 + 45 Combine like terms: -45 + 45 = 0 0 + -7x = 18 + 45 -7x = 18 + 45 Combine like terms: 18 + 45 = 63 -7x = 63 Divide each side by '-7'. x = -9 Simplifying x = -9
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