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Simplifying 5(2x + 1) + -6x + 1 = -6 Reorder the terms: 5(1 + 2x) + -6x + 1 = -6 (1 * 5 + 2x * 5) + -6x + 1 = -6 (5 + 10x) + -6x + 1 = -6 Reorder the terms: 5 + 1 + 10x + -6x = -6 Combine like terms: 5 + 1 = 6 6 + 10x + -6x = -6 Combine like terms: 10x + -6x = 4x 6 + 4x = -6 Solving 6 + 4x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 4x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = -6 + -6 4x = -6 + -6 Combine like terms: -6 + -6 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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