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Simplifying -51 = -6x + 5(2x + -3) Reorder the terms: -51 = -6x + 5(-3 + 2x) -51 = -6x + (-3 * 5 + 2x * 5) -51 = -6x + (-15 + 10x) Reorder the terms: -51 = -15 + -6x + 10x Combine like terms: -6x + 10x = 4x -51 = -15 + 4x Solving -51 = -15 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -51 + -4x = -15 + 4x + -4x Combine like terms: 4x + -4x = 0 -51 + -4x = -15 + 0 -51 + -4x = -15 Add '51' to each side of the equation. -51 + 51 + -4x = -15 + 51 Combine like terms: -51 + 51 = 0 0 + -4x = -15 + 51 -4x = -15 + 51 Combine like terms: -15 + 51 = 36 -4x = 36 Divide each side by '-4'. x = -9 Simplifying x = -9
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