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Simplifying 9(x + 3) + 4(x + 3) = 6x + -6 Reorder the terms: 9(3 + x) + 4(x + 3) = 6x + -6 (3 * 9 + x * 9) + 4(x + 3) = 6x + -6 (27 + 9x) + 4(x + 3) = 6x + -6 Reorder the terms: 27 + 9x + 4(3 + x) = 6x + -6 27 + 9x + (3 * 4 + x * 4) = 6x + -6 27 + 9x + (12 + 4x) = 6x + -6 Reorder the terms: 27 + 12 + 9x + 4x = 6x + -6 Combine like terms: 27 + 12 = 39 39 + 9x + 4x = 6x + -6 Combine like terms: 9x + 4x = 13x 39 + 13x = 6x + -6 Reorder the terms: 39 + 13x = -6 + 6x Solving 39 + 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. 39 + 13x + -6x = -6 + 6x + -6x Combine like terms: 13x + -6x = 7x 39 + 7x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 39 + 7x = -6 + 0 39 + 7x = -6 Add '-39' to each side of the equation. 39 + -39 + 7x = -6 + -39 Combine like terms: 39 + -39 = 0 0 + 7x = -6 + -39 7x = -6 + -39 Combine like terms: -6 + -39 = -45 7x = -45 Divide each side by '7'. x = -6.428571429 Simplifying x = -6.428571429
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