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Simplifying -7(x + 6) + -45 = 1 + -39 Reorder the terms: -7(6 + x) + -45 = 1 + -39 (6 * -7 + x * -7) + -45 = 1 + -39 (-42 + -7x) + -45 = 1 + -39 Reorder the terms: -42 + -45 + -7x = 1 + -39 Combine like terms: -42 + -45 = -87 -87 + -7x = 1 + -39 Combine like terms: 1 + -39 = -38 -87 + -7x = -38 Solving -87 + -7x = -38 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 = -38 + 87 Combine like terms: -87 + 87 = 0 0 + -7x = -38 + 87 -7x = -38 + 87 Combine like terms: -38 + 87 = 49 -7x = 49 Divide each side by '-7'. x = -7 Simplifying x = -7
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