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Simplifying 3 + -1(2x + 4) = 7 + -1(x + -3) Reorder the terms: 3 + -1(4 + 2x) = 7 + -1(x + -3) 3 + (4 * -1 + 2x * -1) = 7 + -1(x + -3) 3 + (-4 + -2x) = 7 + -1(x + -3) Combine like terms: 3 + -4 = -1 -1 + -2x = 7 + -1(x + -3) Reorder the terms: -1 + -2x = 7 + -1(-3 + x) -1 + -2x = 7 + (-3 * -1 + x * -1) -1 + -2x = 7 + (3 + -1x) Combine like terms: 7 + 3 = 10 -1 + -2x = 10 + -1x Solving -1 + -2x = 10 + -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. -1 + -2x + x = 10 + -1x + x Combine like terms: -2x + x = -1x -1 + -1x = 10 + -1x + x Combine like terms: -1x + x = 0 -1 + -1x = 10 + 0 -1 + -1x = 10 Add '1' to each side of the equation. -1 + 1 + -1x = 10 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 10 + 1 -1x = 10 + 1 Combine like terms: 10 + 1 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11
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