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Simplifying 7(5x + -10) = 6(x + -2) Reorder the terms: 7(-10 + 5x) = 6(x + -2) (-10 * 7 + 5x * 7) = 6(x + -2) (-70 + 35x) = 6(x + -2) Reorder the terms: -70 + 35x = 6(-2 + x) -70 + 35x = (-2 * 6 + x * 6) -70 + 35x = (-12 + 6x) Solving -70 + 35x = -12 + 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. -70 + 35x + -6x = -12 + 6x + -6x Combine like terms: 35x + -6x = 29x -70 + 29x = -12 + 6x + -6x Combine like terms: 6x + -6x = 0 -70 + 29x = -12 + 0 -70 + 29x = -12 Add '70' to each side of the equation. -70 + 70 + 29x = -12 + 70 Combine like terms: -70 + 70 = 0 0 + 29x = -12 + 70 29x = -12 + 70 Combine like terms: -12 + 70 = 58 29x = 58 Divide each side by '29'. x = 2 Simplifying x = 2
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