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Simplifying 2(3x + -5) + -3(4 + x) = 56 Reorder the terms: 2(-5 + 3x) + -3(4 + x) = 56 (-5 * 2 + 3x * 2) + -3(4 + x) = 56 (-10 + 6x) + -3(4 + x) = 56 -10 + 6x + (4 * -3 + x * -3) = 56 -10 + 6x + (-12 + -3x) = 56 Reorder the terms: -10 + -12 + 6x + -3x = 56 Combine like terms: -10 + -12 = -22 -22 + 6x + -3x = 56 Combine like terms: 6x + -3x = 3x -22 + 3x = 56 Solving -22 + 3x = 56 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 3x = 56 + 22 Combine like terms: -22 + 22 = 0 0 + 3x = 56 + 22 3x = 56 + 22 Combine like terms: 56 + 22 = 78 3x = 78 Divide each side by '3'. x = 26 Simplifying x = 26
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