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Simplifying 8(8 + -6x) + -5(8 + 6x) = -54 (8 * 8 + -6x * 8) + -5(8 + 6x) = -54 (64 + -48x) + -5(8 + 6x) = -54 64 + -48x + (8 * -5 + 6x * -5) = -54 64 + -48x + (-40 + -30x) = -54 Reorder the terms: 64 + -40 + -48x + -30x = -54 Combine like terms: 64 + -40 = 24 24 + -48x + -30x = -54 Combine like terms: -48x + -30x = -78x 24 + -78x = -54 Solving 24 + -78x = -54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -78x = -54 + -24 Combine like terms: 24 + -24 = 0 0 + -78x = -54 + -24 -78x = -54 + -24 Combine like terms: -54 + -24 = -78 -78x = -78 Divide each side by '-78'. x = 1 Simplifying x = 1
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