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Simplifying 6(1 + 5x) = 3(x + -7) (1 * 6 + 5x * 6) = 3(x + -7) (6 + 30x) = 3(x + -7) Reorder the terms: 6 + 30x = 3(-7 + x) 6 + 30x = (-7 * 3 + x * 3) 6 + 30x = (-21 + 3x) Solving 6 + 30x = -21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 6 + 30x + -3x = -21 + 3x + -3x Combine like terms: 30x + -3x = 27x 6 + 27x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + 27x = -21 + 0 6 + 27x = -21 Add '-6' to each side of the equation. 6 + -6 + 27x = -21 + -6 Combine like terms: 6 + -6 = 0 0 + 27x = -21 + -6 27x = -21 + -6 Combine like terms: -21 + -6 = -27 27x = -27 Divide each side by '27'. x = -1 Simplifying x = -1
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