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Simplifying -3(8x + 18) = 2(4x + -11) Reorder the terms: -3(18 + 8x) = 2(4x + -11) (18 * -3 + 8x * -3) = 2(4x + -11) (-54 + -24x) = 2(4x + -11) Reorder the terms: -54 + -24x = 2(-11 + 4x) -54 + -24x = (-11 * 2 + 4x * 2) -54 + -24x = (-22 + 8x) Solving -54 + -24x = -22 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -54 + -24x + -8x = -22 + 8x + -8x Combine like terms: -24x + -8x = -32x -54 + -32x = -22 + 8x + -8x Combine like terms: 8x + -8x = 0 -54 + -32x = -22 + 0 -54 + -32x = -22 Add '54' to each side of the equation. -54 + 54 + -32x = -22 + 54 Combine like terms: -54 + 54 = 0 0 + -32x = -22 + 54 -32x = -22 + 54 Combine like terms: -22 + 54 = 32 -32x = 32 Divide each side by '-32'. x = -1 Simplifying x = -1
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