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Simplifying 10x + -10(78x + -2) = -70 + 30x + -6 Reorder the terms: 10x + -10(-2 + 78x) = -70 + 30x + -6 10x + (-2 * -10 + 78x * -10) = -70 + 30x + -6 10x + (20 + -780x) = -70 + 30x + -6 Reorder the terms: 20 + 10x + -780x = -70 + 30x + -6 Combine like terms: 10x + -780x = -770x 20 + -770x = -70 + 30x + -6 Reorder the terms: 20 + -770x = -70 + -6 + 30x Combine like terms: -70 + -6 = -76 20 + -770x = -76 + 30x Solving 20 + -770x = -76 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 20 + -770x + -30x = -76 + 30x + -30x Combine like terms: -770x + -30x = -800x 20 + -800x = -76 + 30x + -30x Combine like terms: 30x + -30x = 0 20 + -800x = -76 + 0 20 + -800x = -76 Add '-20' to each side of the equation. 20 + -20 + -800x = -76 + -20 Combine like terms: 20 + -20 = 0 0 + -800x = -76 + -20 -800x = -76 + -20 Combine like terms: -76 + -20 = -96 -800x = -96 Divide each side by '-800'. x = 0.12 Simplifying x = 0.12
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