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Simplifying 10 + -4x = 8 + -3(2x + -9) Reorder the terms: 10 + -4x = 8 + -3(-9 + 2x) 10 + -4x = 8 + (-9 * -3 + 2x * -3) 10 + -4x = 8 + (27 + -6x) Combine like terms: 8 + 27 = 35 10 + -4x = 35 + -6x Solving 10 + -4x = 35 + -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. 10 + -4x + 6x = 35 + -6x + 6x Combine like terms: -4x + 6x = 2x 10 + 2x = 35 + -6x + 6x Combine like terms: -6x + 6x = 0 10 + 2x = 35 + 0 10 + 2x = 35 Add '-10' to each side of the equation. 10 + -10 + 2x = 35 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 35 + -10 2x = 35 + -10 Combine like terms: 35 + -10 = 25 2x = 25 Divide each side by '2'. x = 12.5 Simplifying x = 12.5
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