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Simplifying 7(x + 3) = 4 + -1(x + 8) Reorder the terms: 7(3 + x) = 4 + -1(x + 8) (3 * 7 + x * 7) = 4 + -1(x + 8) (21 + 7x) = 4 + -1(x + 8) Reorder the terms: 21 + 7x = 4 + -1(8 + x) 21 + 7x = 4 + (8 * -1 + x * -1) 21 + 7x = 4 + (-8 + -1x) Combine like terms: 4 + -8 = -4 21 + 7x = -4 + -1x Solving 21 + 7x = -4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 21 + 7x + x = -4 + -1x + x Combine like terms: 7x + x = 8x 21 + 8x = -4 + -1x + x Combine like terms: -1x + x = 0 21 + 8x = -4 + 0 21 + 8x = -4 Add '-21' to each side of the equation. 21 + -21 + 8x = -4 + -21 Combine like terms: 21 + -21 = 0 0 + 8x = -4 + -21 8x = -4 + -21 Combine like terms: -4 + -21 = -25 8x = -25 Divide each side by '8'. x = -3.125 Simplifying x = -3.125
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