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Simplifying 8x + -3(x + 1) = 4(x + 2) Reorder the terms: 8x + -3(1 + x) = 4(x + 2) 8x + (1 * -3 + x * -3) = 4(x + 2) 8x + (-3 + -3x) = 4(x + 2) Reorder the terms: -3 + 8x + -3x = 4(x + 2) Combine like terms: 8x + -3x = 5x -3 + 5x = 4(x + 2) Reorder the terms: -3 + 5x = 4(2 + x) -3 + 5x = (2 * 4 + x * 4) -3 + 5x = (8 + 4x) Solving -3 + 5x = 8 + 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 = 8 + 4x + -4x Combine like terms: 5x + -4x = 1x -3 + 1x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + 1x = 8 + 0 -3 + 1x = 8 Add '3' to each side of the equation. -3 + 3 + 1x = 8 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = 8 + 3 1x = 8 + 3 Combine like terms: 8 + 3 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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