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Simplifying 3(5x + -1) + -2x + 4 = -64 Reorder the terms: 3(-1 + 5x) + -2x + 4 = -64 (-1 * 3 + 5x * 3) + -2x + 4 = -64 (-3 + 15x) + -2x + 4 = -64 Reorder the terms: -3 + 4 + 15x + -2x = -64 Combine like terms: -3 + 4 = 1 1 + 15x + -2x = -64 Combine like terms: 15x + -2x = 13x 1 + 13x = -64 Solving 1 + 13x = -64 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 13x = -64 + -1 Combine like terms: 1 + -1 = 0 0 + 13x = -64 + -1 13x = -64 + -1 Combine like terms: -64 + -1 = -65 13x = -65 Divide each side by '13'. x = -5 Simplifying x = -5
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