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Simplifying 6(3x + -4) + 54 = -3(x + 11) Reorder the terms: 6(-4 + 3x) + 54 = -3(x + 11) (-4 * 6 + 3x * 6) + 54 = -3(x + 11) (-24 + 18x) + 54 = -3(x + 11) Reorder the terms: -24 + 54 + 18x = -3(x + 11) Combine like terms: -24 + 54 = 30 30 + 18x = -3(x + 11) Reorder the terms: 30 + 18x = -3(11 + x) 30 + 18x = (11 * -3 + x * -3) 30 + 18x = (-33 + -3x) Solving 30 + 18x = -33 + -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. 30 + 18x + 3x = -33 + -3x + 3x Combine like terms: 18x + 3x = 21x 30 + 21x = -33 + -3x + 3x Combine like terms: -3x + 3x = 0 30 + 21x = -33 + 0 30 + 21x = -33 Add '-30' to each side of the equation. 30 + -30 + 21x = -33 + -30 Combine like terms: 30 + -30 = 0 0 + 21x = -33 + -30 21x = -33 + -30 Combine like terms: -33 + -30 = -63 21x = -63 Divide each side by '21'. x = -3 Simplifying x = -3
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