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Simplifying 3(4x + -11) = 36 + -2(x + 5) Reorder the terms: 3(-11 + 4x) = 36 + -2(x + 5) (-11 * 3 + 4x * 3) = 36 + -2(x + 5) (-33 + 12x) = 36 + -2(x + 5) Reorder the terms: -33 + 12x = 36 + -2(5 + x) -33 + 12x = 36 + (5 * -2 + x * -2) -33 + 12x = 36 + (-10 + -2x) Combine like terms: 36 + -10 = 26 -33 + 12x = 26 + -2x Solving -33 + 12x = 26 + -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. -33 + 12x + 2x = 26 + -2x + 2x Combine like terms: 12x + 2x = 14x -33 + 14x = 26 + -2x + 2x Combine like terms: -2x + 2x = 0 -33 + 14x = 26 + 0 -33 + 14x = 26 Add '33' to each side of the equation. -33 + 33 + 14x = 26 + 33 Combine like terms: -33 + 33 = 0 0 + 14x = 26 + 33 14x = 26 + 33 Combine like terms: 26 + 33 = 59 14x = 59 Divide each side by '14'. x = 4.214285714 Simplifying x = 4.214285714
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