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Simplifying -6(4x + 9) = 3x + 3(-8x + -11) Reorder the terms: -6(9 + 4x) = 3x + 3(-8x + -11) (9 * -6 + 4x * -6) = 3x + 3(-8x + -11) (-54 + -24x) = 3x + 3(-8x + -11) Reorder the terms: -54 + -24x = 3x + 3(-11 + -8x) -54 + -24x = 3x + (-11 * 3 + -8x * 3) -54 + -24x = 3x + (-33 + -24x) Reorder the terms: -54 + -24x = -33 + 3x + -24x Combine like terms: 3x + -24x = -21x -54 + -24x = -33 + -21x Solving -54 + -24x = -33 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -54 + -24x + 21x = -33 + -21x + 21x Combine like terms: -24x + 21x = -3x -54 + -3x = -33 + -21x + 21x Combine like terms: -21x + 21x = 0 -54 + -3x = -33 + 0 -54 + -3x = -33 Add '54' to each side of the equation. -54 + 54 + -3x = -33 + 54 Combine like terms: -54 + 54 = 0 0 + -3x = -33 + 54 -3x = -33 + 54 Combine like terms: -33 + 54 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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