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Simplifying 4(4x + -5) + -3(6 + -2x) = 28 Reorder the terms: 4(-5 + 4x) + -3(6 + -2x) = 28 (-5 * 4 + 4x * 4) + -3(6 + -2x) = 28 (-20 + 16x) + -3(6 + -2x) = 28 -20 + 16x + (6 * -3 + -2x * -3) = 28 -20 + 16x + (-18 + 6x) = 28 Reorder the terms: -20 + -18 + 16x + 6x = 28 Combine like terms: -20 + -18 = -38 -38 + 16x + 6x = 28 Combine like terms: 16x + 6x = 22x -38 + 22x = 28 Solving -38 + 22x = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 22x = 28 + 38 Combine like terms: -38 + 38 = 0 0 + 22x = 28 + 38 22x = 28 + 38 Combine like terms: 28 + 38 = 66 22x = 66 Divide each side by '22'. x = 3 Simplifying x = 3
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