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