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Simplifying 6(x + 6) + 4 = -9(x + -9) + -2 Reorder the terms: 6(6 + x) + 4 = -9(x + -9) + -2 (6 * 6 + x * 6) + 4 = -9(x + -9) + -2 (36 + 6x) + 4 = -9(x + -9) + -2 Reorder the terms: 36 + 4 + 6x = -9(x + -9) + -2 Combine like terms: 36 + 4 = 40 40 + 6x = -9(x + -9) + -2 Reorder the terms: 40 + 6x = -9(-9 + x) + -2 40 + 6x = (-9 * -9 + x * -9) + -2 40 + 6x = (81 + -9x) + -2 Reorder the terms: 40 + 6x = 81 + -2 + -9x Combine like terms: 81 + -2 = 79 40 + 6x = 79 + -9x Solving 40 + 6x = 79 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 40 + 6x + 9x = 79 + -9x + 9x Combine like terms: 6x + 9x = 15x 40 + 15x = 79 + -9x + 9x Combine like terms: -9x + 9x = 0 40 + 15x = 79 + 0 40 + 15x = 79 Add '-40' to each side of the equation. 40 + -40 + 15x = 79 + -40 Combine like terms: 40 + -40 = 0 0 + 15x = 79 + -40 15x = 79 + -40 Combine like terms: 79 + -40 = 39 15x = 39 Divide each side by '15'. x = 2.6 Simplifying x = 2.6
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