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Simplifying 9(x + -3) + -6 = 2(x + 5) + 13 Reorder the terms: 9(-3 + x) + -6 = 2(x + 5) + 13 (-3 * 9 + x * 9) + -6 = 2(x + 5) + 13 (-27 + 9x) + -6 = 2(x + 5) + 13 Reorder the terms: -27 + -6 + 9x = 2(x + 5) + 13 Combine like terms: -27 + -6 = -33 -33 + 9x = 2(x + 5) + 13 Reorder the terms: -33 + 9x = 2(5 + x) + 13 -33 + 9x = (5 * 2 + x * 2) + 13 -33 + 9x = (10 + 2x) + 13 Reorder the terms: -33 + 9x = 10 + 13 + 2x Combine like terms: 10 + 13 = 23 -33 + 9x = 23 + 2x Solving -33 + 9x = 23 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -33 + 9x + -2x = 23 + 2x + -2x Combine like terms: 9x + -2x = 7x -33 + 7x = 23 + 2x + -2x Combine like terms: 2x + -2x = 0 -33 + 7x = 23 + 0 -33 + 7x = 23 Add '33' to each side of the equation. -33 + 33 + 7x = 23 + 33 Combine like terms: -33 + 33 = 0 0 + 7x = 23 + 33 7x = 23 + 33 Combine like terms: 23 + 33 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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