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Simplifying 3x + 4(x + -1(-2)) = 7 + x Multiply -1 * -2 3x + 4(x + 2) = 7 + x Reorder the terms: 3x + 4(2 + x) = 7 + x 3x + (2 * 4 + x * 4) = 7 + x 3x + (8 + 4x) = 7 + x Reorder the terms: 8 + 3x + 4x = 7 + x Combine like terms: 3x + 4x = 7x 8 + 7x = 7 + x Solving 8 + 7x = 7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 8 + 7x + -1x = 7 + x + -1x Combine like terms: 7x + -1x = 6x 8 + 6x = 7 + x + -1x Combine like terms: x + -1x = 0 8 + 6x = 7 + 0 8 + 6x = 7 Add '-8' to each side of the equation. 8 + -8 + 6x = 7 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = 7 + -8 6x = 7 + -8 Combine like terms: 7 + -8 = -1 6x = -1 Divide each side by '6'. x = -0.1666666667 Simplifying x = -0.1666666667
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