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Simplifying 5(x + -2) = 4(x + 3) Reorder the terms: 5(-2 + x) = 4(x + 3) (-2 * 5 + x * 5) = 4(x + 3) (-10 + 5x) = 4(x + 3) Reorder the terms: -10 + 5x = 4(3 + x) -10 + 5x = (3 * 4 + x * 4) -10 + 5x = (12 + 4x) Solving -10 + 5x = 12 + 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 = 12 + 4x + -4x Combine like terms: 5x + -4x = 1x -10 + 1x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 1x = 12 + 0 -10 + 1x = 12 Add '10' to each side of the equation. -10 + 10 + 1x = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = 12 + 10 1x = 12 + 10 Combine like terms: 12 + 10 = 22 1x = 22 Divide each side by '1'. x = 22 Simplifying x = 22
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