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Simplifying 3(5x + -11) = 4(6 + -1x) Reorder the terms: 3(-11 + 5x) = 4(6 + -1x) (-11 * 3 + 5x * 3) = 4(6 + -1x) (-33 + 15x) = 4(6 + -1x) -33 + 15x = (6 * 4 + -1x * 4) -33 + 15x = (24 + -4x) Solving -33 + 15x = 24 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -33 + 15x + 4x = 24 + -4x + 4x Combine like terms: 15x + 4x = 19x -33 + 19x = 24 + -4x + 4x Combine like terms: -4x + 4x = 0 -33 + 19x = 24 + 0 -33 + 19x = 24 Add '33' to each side of the equation. -33 + 33 + 19x = 24 + 33 Combine like terms: -33 + 33 = 0 0 + 19x = 24 + 33 19x = 24 + 33 Combine like terms: 24 + 33 = 57 19x = 57 Divide each side by '19'. x = 3 Simplifying x = 3
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