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Simplifying -7(x + 3) + -10 = 12 + 6 Reorder the terms: -7(3 + x) + -10 = 12 + 6 (3 * -7 + x * -7) + -10 = 12 + 6 (-21 + -7x) + -10 = 12 + 6 Reorder the terms: -21 + -10 + -7x = 12 + 6 Combine like terms: -21 + -10 = -31 -31 + -7x = 12 + 6 Combine like terms: 12 + 6 = 18 -31 + -7x = 18 Solving -31 + -7x = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -7x = 18 + 31 Combine like terms: -31 + 31 = 0 0 + -7x = 18 + 31 -7x = 18 + 31 Combine like terms: 18 + 31 = 49 -7x = 49 Divide each side by '-7'. x = -7 Simplifying x = -7
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