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Simplifying 8(x + -3) = 6x + -54 Reorder the terms: 8(-3 + x) = 6x + -54 (-3 * 8 + x * 8) = 6x + -54 (-24 + 8x) = 6x + -54 Reorder the terms: -24 + 8x = -54 + 6x Solving -24 + 8x = -54 + 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. -24 + 8x + -6x = -54 + 6x + -6x Combine like terms: 8x + -6x = 2x -24 + 2x = -54 + 6x + -6x Combine like terms: 6x + -6x = 0 -24 + 2x = -54 + 0 -24 + 2x = -54 Add '24' to each side of the equation. -24 + 24 + 2x = -54 + 24 Combine like terms: -24 + 24 = 0 0 + 2x = -54 + 24 2x = -54 + 24 Combine like terms: -54 + 24 = -30 2x = -30 Divide each side by '2'. x = -15 Simplifying x = -15
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