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Simplifying 5(x + -2) = 4(12 + -2x) Reorder the terms: 5(-2 + x) = 4(12 + -2x) (-2 * 5 + x * 5) = 4(12 + -2x) (-10 + 5x) = 4(12 + -2x) -10 + 5x = (12 * 4 + -2x * 4) -10 + 5x = (48 + -8x) Solving -10 + 5x = 48 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -10 + 5x + 8x = 48 + -8x + 8x Combine like terms: 5x + 8x = 13x -10 + 13x = 48 + -8x + 8x Combine like terms: -8x + 8x = 0 -10 + 13x = 48 + 0 -10 + 13x = 48 Add '10' to each side of the equation. -10 + 10 + 13x = 48 + 10 Combine like terms: -10 + 10 = 0 0 + 13x = 48 + 10 13x = 48 + 10 Combine like terms: 48 + 10 = 58 13x = 58 Divide each side by '13'. x = 4.461538462 Simplifying x = 4.461538462
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