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Simplifying 4(x + -9) = 2(x + 21) Reorder the terms: 4(-9 + x) = 2(x + 21) (-9 * 4 + x * 4) = 2(x + 21) (-36 + 4x) = 2(x + 21) Reorder the terms: -36 + 4x = 2(21 + x) -36 + 4x = (21 * 2 + x * 2) -36 + 4x = (42 + 2x) Solving -36 + 4x = 42 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -36 + 4x + -2x = 42 + 2x + -2x Combine like terms: 4x + -2x = 2x -36 + 2x = 42 + 2x + -2x Combine like terms: 2x + -2x = 0 -36 + 2x = 42 + 0 -36 + 2x = 42 Add '36' to each side of the equation. -36 + 36 + 2x = 42 + 36 Combine like terms: -36 + 36 = 0 0 + 2x = 42 + 36 2x = 42 + 36 Combine like terms: 42 + 36 = 78 2x = 78 Divide each side by '2'. x = 39 Simplifying x = 39
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