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Simplifying -4(x + 8) = 18 + -6(x + -5) Reorder the terms: -4(8 + x) = 18 + -6(x + -5) (8 * -4 + x * -4) = 18 + -6(x + -5) (-32 + -4x) = 18 + -6(x + -5) Reorder the terms: -32 + -4x = 18 + -6(-5 + x) -32 + -4x = 18 + (-5 * -6 + x * -6) -32 + -4x = 18 + (30 + -6x) Combine like terms: 18 + 30 = 48 -32 + -4x = 48 + -6x Solving -32 + -4x = 48 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -32 + -4x + 6x = 48 + -6x + 6x Combine like terms: -4x + 6x = 2x -32 + 2x = 48 + -6x + 6x Combine like terms: -6x + 6x = 0 -32 + 2x = 48 + 0 -32 + 2x = 48 Add '32' to each side of the equation. -32 + 32 + 2x = 48 + 32 Combine like terms: -32 + 32 = 0 0 + 2x = 48 + 32 2x = 48 + 32 Combine like terms: 48 + 32 = 80 2x = 80 Divide each side by '2'. x = 40 Simplifying x = 40
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