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Simplifying -7(x + 1) + -16 = 29 + 4 Reorder the terms: -7(1 + x) + -16 = 29 + 4 (1 * -7 + x * -7) + -16 = 29 + 4 (-7 + -7x) + -16 = 29 + 4 Reorder the terms: -7 + -16 + -7x = 29 + 4 Combine like terms: -7 + -16 = -23 -23 + -7x = 29 + 4 Combine like terms: 29 + 4 = 33 -23 + -7x = 33 Solving -23 + -7x = 33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -7x = 33 + 23 Combine like terms: -23 + 23 = 0 0 + -7x = 33 + 23 -7x = 33 + 23 Combine like terms: 33 + 23 = 56 -7x = 56 Divide each side by '-7'. x = -8 Simplifying x = -8
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