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Simplifying (x + 3) * 9 = (15x + 2) + -1(x + 9) * 5 Reorder the terms: (3 + x) * 9 = (15x + 2) + -1(x + 9) * 5 Reorder the terms for easier multiplication: 9(3 + x) = (15x + 2) + -1(x + 9) * 5 (3 * 9 + x * 9) = (15x + 2) + -1(x + 9) * 5 (27 + 9x) = (15x + 2) + -1(x + 9) * 5 Reorder the terms: 27 + 9x = (2 + 15x) + -1(x + 9) * 5 Remove parenthesis around (2 + 15x) 27 + 9x = 2 + 15x + -1(x + 9) * 5 Reorder the terms: 27 + 9x = 2 + 15x + -1(9 + x) * 5 Reorder the terms for easier multiplication: 27 + 9x = 2 + 15x + -1 * 5(9 + x) Multiply -1 * 5 27 + 9x = 2 + 15x + -5(9 + x) 27 + 9x = 2 + 15x + (9 * -5 + x * -5) 27 + 9x = 2 + 15x + (-45 + -5x) Reorder the terms: 27 + 9x = 2 + -45 + 15x + -5x Combine like terms: 2 + -45 = -43 27 + 9x = -43 + 15x + -5x Combine like terms: 15x + -5x = 10x 27 + 9x = -43 + 10x Solving 27 + 9x = -43 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 27 + 9x + -10x = -43 + 10x + -10x Combine like terms: 9x + -10x = -1x 27 + -1x = -43 + 10x + -10x Combine like terms: 10x + -10x = 0 27 + -1x = -43 + 0 27 + -1x = -43 Add '-27' to each side of the equation. 27 + -27 + -1x = -43 + -27 Combine like terms: 27 + -27 = 0 0 + -1x = -43 + -27 -1x = -43 + -27 Combine like terms: -43 + -27 = -70 -1x = -70 Divide each side by '-1'. x = 70 Simplifying x = 70
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