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Simplifying 6(8x + 1) + -1(6x + -1) = 2(x + 5) Reorder the terms: 6(1 + 8x) + -1(6x + -1) = 2(x + 5) (1 * 6 + 8x * 6) + -1(6x + -1) = 2(x + 5) (6 + 48x) + -1(6x + -1) = 2(x + 5) Reorder the terms: 6 + 48x + -1(-1 + 6x) = 2(x + 5) 6 + 48x + (-1 * -1 + 6x * -1) = 2(x + 5) 6 + 48x + (1 + -6x) = 2(x + 5) Reorder the terms: 6 + 1 + 48x + -6x = 2(x + 5) Combine like terms: 6 + 1 = 7 7 + 48x + -6x = 2(x + 5) Combine like terms: 48x + -6x = 42x 7 + 42x = 2(x + 5) Reorder the terms: 7 + 42x = 2(5 + x) 7 + 42x = (5 * 2 + x * 2) 7 + 42x = (10 + 2x) Solving 7 + 42x = 10 + 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. 7 + 42x + -2x = 10 + 2x + -2x Combine like terms: 42x + -2x = 40x 7 + 40x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 40x = 10 + 0 7 + 40x = 10 Add '-7' to each side of the equation. 7 + -7 + 40x = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 40x = 10 + -7 40x = 10 + -7 Combine like terms: 10 + -7 = 3 40x = 3 Divide each side by '40'. x = 0.075 Simplifying x = 0.075
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