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Simplifying 6(x + 7) = -2x + 1 Reorder the terms: 6(7 + x) = -2x + 1 (7 * 6 + x * 6) = -2x + 1 (42 + 6x) = -2x + 1 Reorder the terms: 42 + 6x = 1 + -2x Solving 42 + 6x = 1 + -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. 42 + 6x + 2x = 1 + -2x + 2x Combine like terms: 6x + 2x = 8x 42 + 8x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 42 + 8x = 1 + 0 42 + 8x = 1 Add '-42' to each side of the equation. 42 + -42 + 8x = 1 + -42 Combine like terms: 42 + -42 = 0 0 + 8x = 1 + -42 8x = 1 + -42 Combine like terms: 1 + -42 = -41 8x = -41 Divide each side by '8'. x = -5.125 Simplifying x = -5.125
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