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Simplifying -5(1 + 6x) + 3x = 21 + -1x (1 * -5 + 6x * -5) + 3x = 21 + -1x (-5 + -30x) + 3x = 21 + -1x Combine like terms: -30x + 3x = -27x -5 + -27x = 21 + -1x Solving -5 + -27x = 21 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -5 + -27x + x = 21 + -1x + x Combine like terms: -27x + x = -26x -5 + -26x = 21 + -1x + x Combine like terms: -1x + x = 0 -5 + -26x = 21 + 0 -5 + -26x = 21 Add '5' to each side of the equation. -5 + 5 + -26x = 21 + 5 Combine like terms: -5 + 5 = 0 0 + -26x = 21 + 5 -26x = 21 + 5 Combine like terms: 21 + 5 = 26 -26x = 26 Divide each side by '-26'. x = -1 Simplifying x = -1
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