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Simplifying 6x + -1(3x + 4) = 18 + 5(2 + -1x) Reorder the terms: 6x + -1(4 + 3x) = 18 + 5(2 + -1x) 6x + (4 * -1 + 3x * -1) = 18 + 5(2 + -1x) 6x + (-4 + -3x) = 18 + 5(2 + -1x) Reorder the terms: -4 + 6x + -3x = 18 + 5(2 + -1x) Combine like terms: 6x + -3x = 3x -4 + 3x = 18 + 5(2 + -1x) -4 + 3x = 18 + (2 * 5 + -1x * 5) -4 + 3x = 18 + (10 + -5x) Combine like terms: 18 + 10 = 28 -4 + 3x = 28 + -5x Solving -4 + 3x = 28 + -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. -4 + 3x + 5x = 28 + -5x + 5x Combine like terms: 3x + 5x = 8x -4 + 8x = 28 + -5x + 5x Combine like terms: -5x + 5x = 0 -4 + 8x = 28 + 0 -4 + 8x = 28 Add '4' to each side of the equation. -4 + 4 + 8x = 28 + 4 Combine like terms: -4 + 4 = 0 0 + 8x = 28 + 4 8x = 28 + 4 Combine like terms: 28 + 4 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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