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Simplifying 5(x + -2) = -3(x + 4) Reorder the terms: 5(-2 + x) = -3(x + 4) (-2 * 5 + x * 5) = -3(x + 4) (-10 + 5x) = -3(x + 4) Reorder the terms: -10 + 5x = -3(4 + x) -10 + 5x = (4 * -3 + x * -3) -10 + 5x = (-12 + -3x) Solving -10 + 5x = -12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -10 + 5x + 3x = -12 + -3x + 3x Combine like terms: 5x + 3x = 8x -10 + 8x = -12 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + 8x = -12 + 0 -10 + 8x = -12 Add '10' to each side of the equation. -10 + 10 + 8x = -12 + 10 Combine like terms: -10 + 10 = 0 0 + 8x = -12 + 10 8x = -12 + 10 Combine like terms: -12 + 10 = -2 8x = -2 Divide each side by '8'. x = -0.25 Simplifying x = -0.25
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