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Simplifying 4x + 3(x + -11) = 4(x + -6) Reorder the terms: 4x + 3(-11 + x) = 4(x + -6) 4x + (-11 * 3 + x * 3) = 4(x + -6) 4x + (-33 + 3x) = 4(x + -6) Reorder the terms: -33 + 4x + 3x = 4(x + -6) Combine like terms: 4x + 3x = 7x -33 + 7x = 4(x + -6) Reorder the terms: -33 + 7x = 4(-6 + x) -33 + 7x = (-6 * 4 + x * 4) -33 + 7x = (-24 + 4x) Solving -33 + 7x = -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 + 7x + -4x = -24 + 4x + -4x Combine like terms: 7x + -4x = 3x -33 + 3x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 -33 + 3x = -24 + 0 -33 + 3x = -24 Add '33' to each side of the equation. -33 + 33 + 3x = -24 + 33 Combine like terms: -33 + 33 = 0 0 + 3x = -24 + 33 3x = -24 + 33 Combine like terms: -24 + 33 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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