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Simplifying 7(x + -10) = 6x + -61 Reorder the terms: 7(-10 + x) = 6x + -61 (-10 * 7 + x * 7) = 6x + -61 (-70 + 7x) = 6x + -61 Reorder the terms: -70 + 7x = -61 + 6x Solving -70 + 7x = -61 + 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 + 7x + -6x = -61 + 6x + -6x Combine like terms: 7x + -6x = 1x -70 + 1x = -61 + 6x + -6x Combine like terms: 6x + -6x = 0 -70 + 1x = -61 + 0 -70 + 1x = -61 Add '70' to each side of the equation. -70 + 70 + 1x = -61 + 70 Combine like terms: -70 + 70 = 0 0 + 1x = -61 + 70 1x = -61 + 70 Combine like terms: -61 + 70 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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