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Simplifying 5x + -2(6x + -1) = 3(3x + 5) Reorder the terms: 5x + -2(-1 + 6x) = 3(3x + 5) 5x + (-1 * -2 + 6x * -2) = 3(3x + 5) 5x + (2 + -12x) = 3(3x + 5) Reorder the terms: 2 + 5x + -12x = 3(3x + 5) Combine like terms: 5x + -12x = -7x 2 + -7x = 3(3x + 5) Reorder the terms: 2 + -7x = 3(5 + 3x) 2 + -7x = (5 * 3 + 3x * 3) 2 + -7x = (15 + 9x) Solving 2 + -7x = 15 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 2 + -7x + -9x = 15 + 9x + -9x Combine like terms: -7x + -9x = -16x 2 + -16x = 15 + 9x + -9x Combine like terms: 9x + -9x = 0 2 + -16x = 15 + 0 2 + -16x = 15 Add '-2' to each side of the equation. 2 + -2 + -16x = 15 + -2 Combine like terms: 2 + -2 = 0 0 + -16x = 15 + -2 -16x = 15 + -2 Combine like terms: 15 + -2 = 13 -16x = 13 Divide each side by '-16'. x = -0.8125 Simplifying x = -0.8125
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