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Simplifying 5(6x + -1) + -3(2x + 1) = 6 + -2x Reorder the terms: 5(-1 + 6x) + -3(2x + 1) = 6 + -2x (-1 * 5 + 6x * 5) + -3(2x + 1) = 6 + -2x (-5 + 30x) + -3(2x + 1) = 6 + -2x Reorder the terms: -5 + 30x + -3(1 + 2x) = 6 + -2x -5 + 30x + (1 * -3 + 2x * -3) = 6 + -2x -5 + 30x + (-3 + -6x) = 6 + -2x Reorder the terms: -5 + -3 + 30x + -6x = 6 + -2x Combine like terms: -5 + -3 = -8 -8 + 30x + -6x = 6 + -2x Combine like terms: 30x + -6x = 24x -8 + 24x = 6 + -2x Solving -8 + 24x = 6 + -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. -8 + 24x + 2x = 6 + -2x + 2x Combine like terms: 24x + 2x = 26x -8 + 26x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -8 + 26x = 6 + 0 -8 + 26x = 6 Add '8' to each side of the equation. -8 + 8 + 26x = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 26x = 6 + 8 26x = 6 + 8 Combine like terms: 6 + 8 = 14 26x = 14 Divide each side by '26'. x = 0.5384615385 Simplifying x = 0.5384615385
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