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Simplifying 3 + -1(x + 4) = 2x + 6 Reorder the terms: 3 + -1(4 + x) = 2x + 6 3 + (4 * -1 + x * -1) = 2x + 6 3 + (-4 + -1x) = 2x + 6 Combine like terms: 3 + -4 = -1 -1 + -1x = 2x + 6 Reorder the terms: -1 + -1x = 6 + 2x Solving -1 + -1x = 6 + 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. -1 + -1x + -2x = 6 + 2x + -2x Combine like terms: -1x + -2x = -3x -1 + -3x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + -3x = 6 + 0 -1 + -3x = 6 Add '1' to each side of the equation. -1 + 1 + -3x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 6 + 1 -3x = 6 + 1 Combine like terms: 6 + 1 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333
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