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Simplifying 9(x + 6) + 4(x + 6) = 6x + -6 Reorder the terms: 9(6 + x) + 4(x + 6) = 6x + -6 (6 * 9 + x * 9) + 4(x + 6) = 6x + -6 (54 + 9x) + 4(x + 6) = 6x + -6 Reorder the terms: 54 + 9x + 4(6 + x) = 6x + -6 54 + 9x + (6 * 4 + x * 4) = 6x + -6 54 + 9x + (24 + 4x) = 6x + -6 Reorder the terms: 54 + 24 + 9x + 4x = 6x + -6 Combine like terms: 54 + 24 = 78 78 + 9x + 4x = 6x + -6 Combine like terms: 9x + 4x = 13x 78 + 13x = 6x + -6 Reorder the terms: 78 + 13x = -6 + 6x Solving 78 + 13x = -6 + 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. 78 + 13x + -6x = -6 + 6x + -6x Combine like terms: 13x + -6x = 7x 78 + 7x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 78 + 7x = -6 + 0 78 + 7x = -6 Add '-78' to each side of the equation. 78 + -78 + 7x = -6 + -78 Combine like terms: 78 + -78 = 0 0 + 7x = -6 + -78 7x = -6 + -78 Combine like terms: -6 + -78 = -84 7x = -84 Divide each side by '7'. x = -12 Simplifying x = -12
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