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Simplifying 6(1 + -5x) + 2 = -7(4x + -6) (1 * 6 + -5x * 6) + 2 = -7(4x + -6) (6 + -30x) + 2 = -7(4x + -6) Reorder the terms: 6 + 2 + -30x = -7(4x + -6) Combine like terms: 6 + 2 = 8 8 + -30x = -7(4x + -6) Reorder the terms: 8 + -30x = -7(-6 + 4x) 8 + -30x = (-6 * -7 + 4x * -7) 8 + -30x = (42 + -28x) Solving 8 + -30x = 42 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. 8 + -30x + 28x = 42 + -28x + 28x Combine like terms: -30x + 28x = -2x 8 + -2x = 42 + -28x + 28x Combine like terms: -28x + 28x = 0 8 + -2x = 42 + 0 8 + -2x = 42 Add '-8' to each side of the equation. 8 + -8 + -2x = 42 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 42 + -8 -2x = 42 + -8 Combine like terms: 42 + -8 = 34 -2x = 34 Divide each side by '-2'. x = -17 Simplifying x = -17
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