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Simplifying 5(x + -2) = -4(x + 1) + 24 Reorder the terms: 5(-2 + x) = -4(x + 1) + 24 (-2 * 5 + x * 5) = -4(x + 1) + 24 (-10 + 5x) = -4(x + 1) + 24 Reorder the terms: -10 + 5x = -4(1 + x) + 24 -10 + 5x = (1 * -4 + x * -4) + 24 -10 + 5x = (-4 + -4x) + 24 Reorder the terms: -10 + 5x = -4 + 24 + -4x Combine like terms: -4 + 24 = 20 -10 + 5x = 20 + -4x Solving -10 + 5x = 20 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -10 + 5x + 4x = 20 + -4x + 4x Combine like terms: 5x + 4x = 9x -10 + 9x = 20 + -4x + 4x Combine like terms: -4x + 4x = 0 -10 + 9x = 20 + 0 -10 + 9x = 20 Add '10' to each side of the equation. -10 + 10 + 9x = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 9x = 20 + 10 9x = 20 + 10 Combine like terms: 20 + 10 = 30 9x = 30 Divide each side by '9'. x = 3.333333333 Simplifying x = 3.333333333
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