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Simplifying -6(x + -5) + 4(6 + 6x) = 36 Reorder the terms: -6(-5 + x) + 4(6 + 6x) = 36 (-5 * -6 + x * -6) + 4(6 + 6x) = 36 (30 + -6x) + 4(6 + 6x) = 36 30 + -6x + (6 * 4 + 6x * 4) = 36 30 + -6x + (24 + 24x) = 36 Reorder the terms: 30 + 24 + -6x + 24x = 36 Combine like terms: 30 + 24 = 54 54 + -6x + 24x = 36 Combine like terms: -6x + 24x = 18x 54 + 18x = 36 Solving 54 + 18x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + 18x = 36 + -54 Combine like terms: 54 + -54 = 0 0 + 18x = 36 + -54 18x = 36 + -54 Combine like terms: 36 + -54 = -18 18x = -18 Divide each side by '18'. x = -1 Simplifying x = -1
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