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Simplifying 4(x + -5) + 2(x + 3) = 28 Reorder the terms: 4(-5 + x) + 2(x + 3) = 28 (-5 * 4 + x * 4) + 2(x + 3) = 28 (-20 + 4x) + 2(x + 3) = 28 Reorder the terms: -20 + 4x + 2(3 + x) = 28 -20 + 4x + (3 * 2 + x * 2) = 28 -20 + 4x + (6 + 2x) = 28 Reorder the terms: -20 + 6 + 4x + 2x = 28 Combine like terms: -20 + 6 = -14 -14 + 4x + 2x = 28 Combine like terms: 4x + 2x = 6x -14 + 6x = 28 Solving -14 + 6x = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 6x = 28 + 14 Combine like terms: -14 + 14 = 0 0 + 6x = 28 + 14 6x = 28 + 14 Combine like terms: 28 + 14 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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