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Simplifying 5(x + 6) = 6(x + -4) Reorder the terms: 5(6 + x) = 6(x + -4) (6 * 5 + x * 5) = 6(x + -4) (30 + 5x) = 6(x + -4) Reorder the terms: 30 + 5x = 6(-4 + x) 30 + 5x = (-4 * 6 + x * 6) 30 + 5x = (-24 + 6x) Solving 30 + 5x = -24 + 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. 30 + 5x + -6x = -24 + 6x + -6x Combine like terms: 5x + -6x = -1x 30 + -1x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 30 + -1x = -24 + 0 30 + -1x = -24 Add '-30' to each side of the equation. 30 + -30 + -1x = -24 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = -24 + -30 -1x = -24 + -30 Combine like terms: -24 + -30 = -54 -1x = -54 Divide each side by '-1'. x = 54 Simplifying x = 54
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