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Simplifying -61 = 5x + 7(-3x + 5) Reorder the terms: -61 = 5x + 7(5 + -3x) -61 = 5x + (5 * 7 + -3x * 7) -61 = 5x + (35 + -21x) Reorder the terms: -61 = 35 + 5x + -21x Combine like terms: 5x + -21x = -16x -61 = 35 + -16x Solving -61 = 35 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -61 + 16x = 35 + -16x + 16x Combine like terms: -16x + 16x = 0 -61 + 16x = 35 + 0 -61 + 16x = 35 Add '61' to each side of the equation. -61 + 61 + 16x = 35 + 61 Combine like terms: -61 + 61 = 0 0 + 16x = 35 + 61 16x = 35 + 61 Combine like terms: 35 + 61 = 96 16x = 96 Divide each side by '16'. x = 6 Simplifying x = 6
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