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Simplifying -7(x + 4) + -42 = 5 + -12 Reorder the terms: -7(4 + x) + -42 = 5 + -12 (4 * -7 + x * -7) + -42 = 5 + -12 (-28 + -7x) + -42 = 5 + -12 Reorder the terms: -28 + -42 + -7x = 5 + -12 Combine like terms: -28 + -42 = -70 -70 + -7x = 5 + -12 Combine like terms: 5 + -12 = -7 -70 + -7x = -7 Solving -70 + -7x = -7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '70' to each side of the equation. -70 + 70 + -7x = -7 + 70 Combine like terms: -70 + 70 = 0 0 + -7x = -7 + 70 -7x = -7 + 70 Combine like terms: -7 + 70 = 63 -7x = 63 Divide each side by '-7'. x = -9 Simplifying x = -9
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