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Simplifying 3(x + -4) + -9 = -5(x + -2) Reorder the terms: 3(-4 + x) + -9 = -5(x + -2) (-4 * 3 + x * 3) + -9 = -5(x + -2) (-12 + 3x) + -9 = -5(x + -2) Reorder the terms: -12 + -9 + 3x = -5(x + -2) Combine like terms: -12 + -9 = -21 -21 + 3x = -5(x + -2) Reorder the terms: -21 + 3x = -5(-2 + x) -21 + 3x = (-2 * -5 + x * -5) -21 + 3x = (10 + -5x) Solving -21 + 3x = 10 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -21 + 3x + 5x = 10 + -5x + 5x Combine like terms: 3x + 5x = 8x -21 + 8x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 -21 + 8x = 10 + 0 -21 + 8x = 10 Add '21' to each side of the equation. -21 + 21 + 8x = 10 + 21 Combine like terms: -21 + 21 = 0 0 + 8x = 10 + 21 8x = 10 + 21 Combine like terms: 10 + 21 = 31 8x = 31 Divide each side by '8'. x = 3.875 Simplifying x = 3.875
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