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Simplifying 3x + 4(x + -2) = 2 + -1(x + 8) Reorder the terms: 3x + 4(-2 + x) = 2 + -1(x + 8) 3x + (-2 * 4 + x * 4) = 2 + -1(x + 8) 3x + (-8 + 4x) = 2 + -1(x + 8) Reorder the terms: -8 + 3x + 4x = 2 + -1(x + 8) Combine like terms: 3x + 4x = 7x -8 + 7x = 2 + -1(x + 8) Reorder the terms: -8 + 7x = 2 + -1(8 + x) -8 + 7x = 2 + (8 * -1 + x * -1) -8 + 7x = 2 + (-8 + -1x) Combine like terms: 2 + -8 = -6 -8 + 7x = -6 + -1x Solving -8 + 7x = -6 + -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. -8 + 7x + x = -6 + -1x + x Combine like terms: 7x + x = 8x -8 + 8x = -6 + -1x + x Combine like terms: -1x + x = 0 -8 + 8x = -6 + 0 -8 + 8x = -6 Add '8' to each side of the equation. -8 + 8 + 8x = -6 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = -6 + 8 8x = -6 + 8 Combine like terms: -6 + 8 = 2 8x = 2 Divide each side by '8'. x = 0.25 Simplifying x = 0.25
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