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Simplifying 3(x + 9) + -10 = 2x + -4(x + -8) Reorder the terms: 3(9 + x) + -10 = 2x + -4(x + -8) (9 * 3 + x * 3) + -10 = 2x + -4(x + -8) (27 + 3x) + -10 = 2x + -4(x + -8) Reorder the terms: 27 + -10 + 3x = 2x + -4(x + -8) Combine like terms: 27 + -10 = 17 17 + 3x = 2x + -4(x + -8) Reorder the terms: 17 + 3x = 2x + -4(-8 + x) 17 + 3x = 2x + (-8 * -4 + x * -4) 17 + 3x = 2x + (32 + -4x) Reorder the terms: 17 + 3x = 32 + 2x + -4x Combine like terms: 2x + -4x = -2x 17 + 3x = 32 + -2x Solving 17 + 3x = 32 + -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. 17 + 3x + 2x = 32 + -2x + 2x Combine like terms: 3x + 2x = 5x 17 + 5x = 32 + -2x + 2x Combine like terms: -2x + 2x = 0 17 + 5x = 32 + 0 17 + 5x = 32 Add '-17' to each side of the equation. 17 + -17 + 5x = 32 + -17 Combine like terms: 17 + -17 = 0 0 + 5x = 32 + -17 5x = 32 + -17 Combine like terms: 32 + -17 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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