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Simplifying 4x + -3(x + 2) = 3(8 + -1x) + x Reorder the terms: 4x + -3(2 + x) = 3(8 + -1x) + x 4x + (2 * -3 + x * -3) = 3(8 + -1x) + x 4x + (-6 + -3x) = 3(8 + -1x) + x Reorder the terms: -6 + 4x + -3x = 3(8 + -1x) + x Combine like terms: 4x + -3x = 1x -6 + 1x = 3(8 + -1x) + x -6 + 1x = (8 * 3 + -1x * 3) + x -6 + 1x = (24 + -3x) + x Combine like terms: -3x + x = -2x -6 + 1x = 24 + -2x Solving -6 + 1x = 24 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -6 + 1x + 2x = 24 + -2x + 2x Combine like terms: 1x + 2x = 3x -6 + 3x = 24 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 3x = 24 + 0 -6 + 3x = 24 Add '6' to each side of the equation. -6 + 6 + 3x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 24 + 6 3x = 24 + 6 Combine like terms: 24 + 6 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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