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Simplifying 2(3x + -2) = 4 + -1(x + -4) Reorder the terms: 2(-2 + 3x) = 4 + -1(x + -4) (-2 * 2 + 3x * 2) = 4 + -1(x + -4) (-4 + 6x) = 4 + -1(x + -4) Reorder the terms: -4 + 6x = 4 + -1(-4 + x) -4 + 6x = 4 + (-4 * -1 + x * -1) -4 + 6x = 4 + (4 + -1x) Combine like terms: 4 + 4 = 8 -4 + 6x = 8 + -1x Solving -4 + 6x = 8 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -4 + 6x + x = 8 + -1x + x Combine like terms: 6x + x = 7x -4 + 7x = 8 + -1x + x Combine like terms: -1x + x = 0 -4 + 7x = 8 + 0 -4 + 7x = 8 Add '4' to each side of the equation. -4 + 4 + 7x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 7x = 8 + 4 7x = 8 + 4 Combine like terms: 8 + 4 = 12 7x = 12 Divide each side by '7'. x = 1.714285714 Simplifying x = 1.714285714
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