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Simplifying 8x + -3(x + -1) = 4(x + 6) Reorder the terms: 8x + -3(-1 + x) = 4(x + 6) 8x + (-1 * -3 + x * -3) = 4(x + 6) 8x + (3 + -3x) = 4(x + 6) Reorder the terms: 3 + 8x + -3x = 4(x + 6) Combine like terms: 8x + -3x = 5x 3 + 5x = 4(x + 6) Reorder the terms: 3 + 5x = 4(6 + x) 3 + 5x = (6 * 4 + x * 4) 3 + 5x = (24 + 4x) Solving 3 + 5x = 24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + 5x + -4x = 24 + 4x + -4x Combine like terms: 5x + -4x = 1x 3 + 1x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + 1x = 24 + 0 3 + 1x = 24 Add '-3' to each side of the equation. 3 + -3 + 1x = 24 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 24 + -3 1x = 24 + -3 Combine like terms: 24 + -3 = 21 1x = 21 Divide each side by '1'. x = 21 Simplifying x = 21
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