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Simplifying 7x + -3(x + -1) = 8x + 21 + -3x Reorder the terms: 7x + -3(-1 + x) = 8x + 21 + -3x 7x + (-1 * -3 + x * -3) = 8x + 21 + -3x 7x + (3 + -3x) = 8x + 21 + -3x Reorder the terms: 3 + 7x + -3x = 8x + 21 + -3x Combine like terms: 7x + -3x = 4x 3 + 4x = 8x + 21 + -3x Reorder the terms: 3 + 4x = 21 + 8x + -3x Combine like terms: 8x + -3x = 5x 3 + 4x = 21 + 5x Solving 3 + 4x = 21 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 3 + 4x + -5x = 21 + 5x + -5x Combine like terms: 4x + -5x = -1x 3 + -1x = 21 + 5x + -5x Combine like terms: 5x + -5x = 0 3 + -1x = 21 + 0 3 + -1x = 21 Add '-3' to each side of the equation. 3 + -3 + -1x = 21 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 21 + -3 -1x = 21 + -3 Combine like terms: 21 + -3 = 18 -1x = 18 Divide each side by '-1'. x = -18 Simplifying x = -18
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