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Simplifying 6(7 + -1x) = 2(x + 10) (7 * 6 + -1x * 6) = 2(x + 10) (42 + -6x) = 2(x + 10) Reorder the terms: 42 + -6x = 2(10 + x) 42 + -6x = (10 * 2 + x * 2) 42 + -6x = (20 + 2x) Solving 42 + -6x = 20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 42 + -6x + -2x = 20 + 2x + -2x Combine like terms: -6x + -2x = -8x 42 + -8x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 42 + -8x = 20 + 0 42 + -8x = 20 Add '-42' to each side of the equation. 42 + -42 + -8x = 20 + -42 Combine like terms: 42 + -42 = 0 0 + -8x = 20 + -42 -8x = 20 + -42 Combine like terms: 20 + -42 = -22 -8x = -22 Divide each side by '-8'. x = 2.75 Simplifying x = 2.75
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