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Simplifying -50 = -1(6x + 3) + 5(5 + 6x) Reorder the terms: -50 = -1(3 + 6x) + 5(5 + 6x) -50 = (3 * -1 + 6x * -1) + 5(5 + 6x) -50 = (-3 + -6x) + 5(5 + 6x) -50 = -3 + -6x + (5 * 5 + 6x * 5) -50 = -3 + -6x + (25 + 30x) Reorder the terms: -50 = -3 + 25 + -6x + 30x Combine like terms: -3 + 25 = 22 -50 = 22 + -6x + 30x Combine like terms: -6x + 30x = 24x -50 = 22 + 24x Solving -50 = 22 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -50 + -24x = 22 + 24x + -24x Combine like terms: 24x + -24x = 0 -50 + -24x = 22 + 0 -50 + -24x = 22 Add '50' to each side of the equation. -50 + 50 + -24x = 22 + 50 Combine like terms: -50 + 50 = 0 0 + -24x = 22 + 50 -24x = 22 + 50 Combine like terms: 22 + 50 = 72 -24x = 72 Divide each side by '-24'. x = -3 Simplifying x = -3
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