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Simplifying 2(8x + -3x) + 5 = 3(9x + 7) Combine like terms: 8x + -3x = 5x 2(5x) + 5 = 3(9x + 7) Remove parenthesis around (5x) 2 * 5x + 5 = 3(9x + 7) Multiply 2 * 5 10x + 5 = 3(9x + 7) Reorder the terms: 5 + 10x = 3(9x + 7) Reorder the terms: 5 + 10x = 3(7 + 9x) 5 + 10x = (7 * 3 + 9x * 3) 5 + 10x = (21 + 27x) Solving 5 + 10x = 21 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 5 + 10x + -27x = 21 + 27x + -27x Combine like terms: 10x + -27x = -17x 5 + -17x = 21 + 27x + -27x Combine like terms: 27x + -27x = 0 5 + -17x = 21 + 0 5 + -17x = 21 Add '-5' to each side of the equation. 5 + -5 + -17x = 21 + -5 Combine like terms: 5 + -5 = 0 0 + -17x = 21 + -5 -17x = 21 + -5 Combine like terms: 21 + -5 = 16 -17x = 16 Divide each side by '-17'. x = -0.9411764706 Simplifying x = -0.9411764706
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