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Simplifying -7(x + 2) + -45 = 6 + -23 Reorder the terms: -7(2 + x) + -45 = 6 + -23 (2 * -7 + x * -7) + -45 = 6 + -23 (-14 + -7x) + -45 = 6 + -23 Reorder the terms: -14 + -45 + -7x = 6 + -23 Combine like terms: -14 + -45 = -59 -59 + -7x = 6 + -23 Combine like terms: 6 + -23 = -17 -59 + -7x = -17 Solving -59 + -7x = -17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '59' to each side of the equation. -59 + 59 + -7x = -17 + 59 Combine like terms: -59 + 59 = 0 0 + -7x = -17 + 59 -7x = -17 + 59 Combine like terms: -17 + 59 = 42 -7x = 42 Divide each side by '-7'. x = -6 Simplifying x = -6
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