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Simplifying -7(x + 3) + -12 = 15 + 1 Reorder the terms: -7(3 + x) + -12 = 15 + 1 (3 * -7 + x * -7) + -12 = 15 + 1 (-21 + -7x) + -12 = 15 + 1 Reorder the terms: -21 + -12 + -7x = 15 + 1 Combine like terms: -21 + -12 = -33 -33 + -7x = 15 + 1 Combine like terms: 15 + 1 = 16 -33 + -7x = 16 Solving -33 + -7x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + -7x = 16 + 33 Combine like terms: -33 + 33 = 0 0 + -7x = 16 + 33 -7x = 16 + 33 Combine like terms: 16 + 33 = 49 -7x = 49 Divide each side by '-7'. x = -7 Simplifying x = -7
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