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Simplifying 9(x + 10) = 6(10x + -70) Reorder the terms: 9(10 + x) = 6(10x + -70) (10 * 9 + x * 9) = 6(10x + -70) (90 + 9x) = 6(10x + -70) Reorder the terms: 90 + 9x = 6(-70 + 10x) 90 + 9x = (-70 * 6 + 10x * 6) 90 + 9x = (-420 + 60x) Solving 90 + 9x = -420 + 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. 90 + 9x + -60x = -420 + 60x + -60x Combine like terms: 9x + -60x = -51x 90 + -51x = -420 + 60x + -60x Combine like terms: 60x + -60x = 0 90 + -51x = -420 + 0 90 + -51x = -420 Add '-90' to each side of the equation. 90 + -90 + -51x = -420 + -90 Combine like terms: 90 + -90 = 0 0 + -51x = -420 + -90 -51x = -420 + -90 Combine like terms: -420 + -90 = -510 -51x = -510 Divide each side by '-51'. x = 10 Simplifying x = 10
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