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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 = -16x -54 + -16x = -22 + -8x + 8x Combine like terms: -8x + 8x = 0 -54 + -16x = -22 + 0 -54 + -16x = -22 Add '54' to each side of the equation. -54 + 54 + -16x = -22 + 54 Combine like terms: -54 + 54 = 0 0 + -16x = -22 + 54 -16x = -22 + 54 Combine like terms: -22 + 54 = 32 -16x = 32 Divide each side by '-16'. x = -2 Simplifying x = -2
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