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Simplifying 3(x + -2) = 7 + -1(4 + -1x) Reorder the terms: 3(-2 + x) = 7 + -1(4 + -1x) (-2 * 3 + x * 3) = 7 + -1(4 + -1x) (-6 + 3x) = 7 + -1(4 + -1x) -6 + 3x = 7 + (4 * -1 + -1x * -1) -6 + 3x = 7 + (-4 + 1x) Combine like terms: 7 + -4 = 3 -6 + 3x = 3 + 1x Solving -6 + 3x = 3 + 1x 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. -6 + 3x + -1x = 3 + 1x + -1x Combine like terms: 3x + -1x = 2x -6 + 2x = 3 + 1x + -1x Combine like terms: 1x + -1x = 0 -6 + 2x = 3 + 0 -6 + 2x = 3 Add '6' to each side of the equation. -6 + 6 + 2x = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 3 + 6 2x = 3 + 6 Combine like terms: 3 + 6 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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