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Simplifying 21 + -1(x + 9) = 7x + -4 Reorder the terms: 21 + -1(9 + x) = 7x + -4 21 + (9 * -1 + x * -1) = 7x + -4 21 + (-9 + -1x) = 7x + -4 Combine like terms: 21 + -9 = 12 12 + -1x = 7x + -4 Reorder the terms: 12 + -1x = -4 + 7x Solving 12 + -1x = -4 + 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. 12 + -1x + -7x = -4 + 7x + -7x Combine like terms: -1x + -7x = -8x 12 + -8x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + -8x = -4 + 0 12 + -8x = -4 Add '-12' to each side of the equation. 12 + -12 + -8x = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = -4 + -12 -8x = -4 + -12 Combine like terms: -4 + -12 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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