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Simplifying 3(x + -2) + 4 = -1(x + 5) + -9 Reorder the terms: 3(-2 + x) + 4 = -1(x + 5) + -9 (-2 * 3 + x * 3) + 4 = -1(x + 5) + -9 (-6 + 3x) + 4 = -1(x + 5) + -9 Reorder the terms: -6 + 4 + 3x = -1(x + 5) + -9 Combine like terms: -6 + 4 = -2 -2 + 3x = -1(x + 5) + -9 Reorder the terms: -2 + 3x = -1(5 + x) + -9 -2 + 3x = (5 * -1 + x * -1) + -9 -2 + 3x = (-5 + -1x) + -9 Reorder the terms: -2 + 3x = -5 + -9 + -1x Combine like terms: -5 + -9 = -14 -2 + 3x = -14 + -1x Solving -2 + 3x = -14 + -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. -2 + 3x + x = -14 + -1x + x Combine like terms: 3x + x = 4x -2 + 4x = -14 + -1x + x Combine like terms: -1x + x = 0 -2 + 4x = -14 + 0 -2 + 4x = -14 Add '2' to each side of the equation. -2 + 2 + 4x = -14 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = -14 + 2 4x = -14 + 2 Combine like terms: -14 + 2 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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