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Simplifying 9(2 + -1x) + 5 = 2(2x + 7) + -10x (2 * 9 + -1x * 9) + 5 = 2(2x + 7) + -10x (18 + -9x) + 5 = 2(2x + 7) + -10x Reorder the terms: 18 + 5 + -9x = 2(2x + 7) + -10x Combine like terms: 18 + 5 = 23 23 + -9x = 2(2x + 7) + -10x Reorder the terms: 23 + -9x = 2(7 + 2x) + -10x 23 + -9x = (7 * 2 + 2x * 2) + -10x 23 + -9x = (14 + 4x) + -10x Combine like terms: 4x + -10x = -6x 23 + -9x = 14 + -6x Solving 23 + -9x = 14 + -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. 23 + -9x + 6x = 14 + -6x + 6x Combine like terms: -9x + 6x = -3x 23 + -3x = 14 + -6x + 6x Combine like terms: -6x + 6x = 0 23 + -3x = 14 + 0 23 + -3x = 14 Add '-23' to each side of the equation. 23 + -23 + -3x = 14 + -23 Combine like terms: 23 + -23 = 0 0 + -3x = 14 + -23 -3x = 14 + -23 Combine like terms: 14 + -23 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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