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Simplifying 5(3x + -1) + -2(x + -3) = -51 Reorder the terms: 5(-1 + 3x) + -2(x + -3) = -51 (-1 * 5 + 3x * 5) + -2(x + -3) = -51 (-5 + 15x) + -2(x + -3) = -51 Reorder the terms: -5 + 15x + -2(-3 + x) = -51 -5 + 15x + (-3 * -2 + x * -2) = -51 -5 + 15x + (6 + -2x) = -51 Reorder the terms: -5 + 6 + 15x + -2x = -51 Combine like terms: -5 + 6 = 1 1 + 15x + -2x = -51 Combine like terms: 15x + -2x = 13x 1 + 13x = -51 Solving 1 + 13x = -51 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 = -51 + -1 Combine like terms: 1 + -1 = 0 0 + 13x = -51 + -1 13x = -51 + -1 Combine like terms: -51 + -1 = -52 13x = -52 Divide each side by '13'. x = -4 Simplifying x = -4
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