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Simplifying 2x + -8(x + 12) = 54 + -18x Reorder the terms: 2x + -8(12 + x) = 54 + -18x 2x + (12 * -8 + x * -8) = 54 + -18x 2x + (-96 + -8x) = 54 + -18x Reorder the terms: -96 + 2x + -8x = 54 + -18x Combine like terms: 2x + -8x = -6x -96 + -6x = 54 + -18x Solving -96 + -6x = 54 + -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. -96 + -6x + 18x = 54 + -18x + 18x Combine like terms: -6x + 18x = 12x -96 + 12x = 54 + -18x + 18x Combine like terms: -18x + 18x = 0 -96 + 12x = 54 + 0 -96 + 12x = 54 Add '96' to each side of the equation. -96 + 96 + 12x = 54 + 96 Combine like terms: -96 + 96 = 0 0 + 12x = 54 + 96 12x = 54 + 96 Combine like terms: 54 + 96 = 150 12x = 150 Divide each side by '12'. x = 12.5 Simplifying x = 12.5
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