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Simplifying -7(x + 6) + -45 = 3 + -55 Reorder the terms: -7(6 + x) + -45 = 3 + -55 (6 * -7 + x * -7) + -45 = 3 + -55 (-42 + -7x) + -45 = 3 + -55 Reorder the terms: -42 + -45 + -7x = 3 + -55 Combine like terms: -42 + -45 = -87 -87 + -7x = 3 + -55 Combine like terms: 3 + -55 = -52 -87 + -7x = -52 Solving -87 + -7x = -52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '87' to each side of the equation. -87 + 87 + -7x = -52 + 87 Combine like terms: -87 + 87 = 0 0 + -7x = -52 + 87 -7x = -52 + 87 Combine like terms: -52 + 87 = 35 -7x = 35 Divide each side by '-7'. x = -5 Simplifying x = -5
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