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Simplifying 6x + -10(4x + -2) = 10x + 34 Reorder the terms: 6x + -10(-2 + 4x) = 10x + 34 6x + (-2 * -10 + 4x * -10) = 10x + 34 6x + (20 + -40x) = 10x + 34 Reorder the terms: 20 + 6x + -40x = 10x + 34 Combine like terms: 6x + -40x = -34x 20 + -34x = 10x + 34 Reorder the terms: 20 + -34x = 34 + 10x Solving 20 + -34x = 34 + 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. 20 + -34x + -10x = 34 + 10x + -10x Combine like terms: -34x + -10x = -44x 20 + -44x = 34 + 10x + -10x Combine like terms: 10x + -10x = 0 20 + -44x = 34 + 0 20 + -44x = 34 Add '-20' to each side of the equation. 20 + -20 + -44x = 34 + -20 Combine like terms: 20 + -20 = 0 0 + -44x = 34 + -20 -44x = 34 + -20 Combine like terms: 34 + -20 = 14 -44x = 14 Divide each side by '-44'. x = -0.3181818182 Simplifying x = -0.3181818182
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