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Simplifying 7(-10 + 9x) + -5x = 6(12x + -7) (-10 * 7 + 9x * 7) + -5x = 6(12x + -7) (-70 + 63x) + -5x = 6(12x + -7) Combine like terms: 63x + -5x = 58x -70 + 58x = 6(12x + -7) Reorder the terms: -70 + 58x = 6(-7 + 12x) -70 + 58x = (-7 * 6 + 12x * 6) -70 + 58x = (-42 + 72x) Solving -70 + 58x = -42 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. -70 + 58x + -72x = -42 + 72x + -72x Combine like terms: 58x + -72x = -14x -70 + -14x = -42 + 72x + -72x Combine like terms: 72x + -72x = 0 -70 + -14x = -42 + 0 -70 + -14x = -42 Add '70' to each side of the equation. -70 + 70 + -14x = -42 + 70 Combine like terms: -70 + 70 = 0 0 + -14x = -42 + 70 -14x = -42 + 70 Combine like terms: -42 + 70 = 28 -14x = 28 Divide each side by '-14'. x = -2 Simplifying x = -2
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