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Simplifying 6(5x + 1) = 4x + -6x Reorder the terms: 6(1 + 5x) = 4x + -6x (1 * 6 + 5x * 6) = 4x + -6x (6 + 30x) = 4x + -6x Combine like terms: 4x + -6x = -2x 6 + 30x = -2x Solving 6 + 30x = -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. 6 + 30x + 2x = -2x + 2x Combine like terms: 30x + 2x = 32x 6 + 32x = -2x + 2x Combine like terms: -2x + 2x = 0 6 + 32x = 0 Add '-6' to each side of the equation. 6 + -6 + 32x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 32x = 0 + -6 32x = 0 + -6 Combine like terms: 0 + -6 = -6 32x = -6 Divide each side by '32'. x = -0.1875 Simplifying x = -0.1875
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