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Simplifying 4(3x + -13) = 44 + -3(x + 2) Reorder the terms: 4(-13 + 3x) = 44 + -3(x + 2) (-13 * 4 + 3x * 4) = 44 + -3(x + 2) (-52 + 12x) = 44 + -3(x + 2) Reorder the terms: -52 + 12x = 44 + -3(2 + x) -52 + 12x = 44 + (2 * -3 + x * -3) -52 + 12x = 44 + (-6 + -3x) Combine like terms: 44 + -6 = 38 -52 + 12x = 38 + -3x Solving -52 + 12x = 38 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -52 + 12x + 3x = 38 + -3x + 3x Combine like terms: 12x + 3x = 15x -52 + 15x = 38 + -3x + 3x Combine like terms: -3x + 3x = 0 -52 + 15x = 38 + 0 -52 + 15x = 38 Add '52' to each side of the equation. -52 + 52 + 15x = 38 + 52 Combine like terms: -52 + 52 = 0 0 + 15x = 38 + 52 15x = 38 + 52 Combine like terms: 38 + 52 = 90 15x = 90 Divide each side by '15'. x = 6 Simplifying x = 6
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