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Simplifying 2(4x + -16) = 18(x + -4) Reorder the terms: 2(-16 + 4x) = 18(x + -4) (-16 * 2 + 4x * 2) = 18(x + -4) (-32 + 8x) = 18(x + -4) Reorder the terms: -32 + 8x = 18(-4 + x) -32 + 8x = (-4 * 18 + x * 18) -32 + 8x = (-72 + 18x) Solving -32 + 8x = -72 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -32 + 8x + -18x = -72 + 18x + -18x Combine like terms: 8x + -18x = -10x -32 + -10x = -72 + 18x + -18x Combine like terms: 18x + -18x = 0 -32 + -10x = -72 + 0 -32 + -10x = -72 Add '32' to each side of the equation. -32 + 32 + -10x = -72 + 32 Combine like terms: -32 + 32 = 0 0 + -10x = -72 + 32 -10x = -72 + 32 Combine like terms: -72 + 32 = -40 -10x = -40 Divide each side by '-10'. x = 4 Simplifying x = 4
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