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Simplifying 7(5x + 1) = 3x + -9x Reorder the terms: 7(1 + 5x) = 3x + -9x (1 * 7 + 5x * 7) = 3x + -9x (7 + 35x) = 3x + -9x Combine like terms: 3x + -9x = -6x 7 + 35x = -6x Solving 7 + 35x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 7 + 35x + 6x = -6x + 6x Combine like terms: 35x + 6x = 41x 7 + 41x = -6x + 6x Combine like terms: -6x + 6x = 0 7 + 41x = 0 Add '-7' to each side of the equation. 7 + -7 + 41x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 41x = 0 + -7 41x = 0 + -7 Combine like terms: 0 + -7 = -7 41x = -7 Divide each side by '41'. x = -0.1707317073 Simplifying x = -0.1707317073
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