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Simplifying 21 + -1(x + 5) = 7x + -8 Reorder the terms: 21 + -1(5 + x) = 7x + -8 21 + (5 * -1 + x * -1) = 7x + -8 21 + (-5 + -1x) = 7x + -8 Combine like terms: 21 + -5 = 16 16 + -1x = 7x + -8 Reorder the terms: 16 + -1x = -8 + 7x Solving 16 + -1x = -8 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 16 + -1x + -7x = -8 + 7x + -7x Combine like terms: -1x + -7x = -8x 16 + -8x = -8 + 7x + -7x Combine like terms: 7x + -7x = 0 16 + -8x = -8 + 0 16 + -8x = -8 Add '-16' to each side of the equation. 16 + -16 + -8x = -8 + -16 Combine like terms: 16 + -16 = 0 0 + -8x = -8 + -16 -8x = -8 + -16 Combine like terms: -8 + -16 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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