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Simplifying 6 + 3(3x + -5 + 7x) = -1(2x + -1) Reorder the terms: 6 + 3(-5 + 3x + 7x) = -1(2x + -1) Combine like terms: 3x + 7x = 10x 6 + 3(-5 + 10x) = -1(2x + -1) 6 + (-5 * 3 + 10x * 3) = -1(2x + -1) 6 + (-15 + 30x) = -1(2x + -1) Combine like terms: 6 + -15 = -9 -9 + 30x = -1(2x + -1) Reorder the terms: -9 + 30x = -1(-1 + 2x) -9 + 30x = (-1 * -1 + 2x * -1) -9 + 30x = (1 + -2x) Solving -9 + 30x = 1 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -9 + 30x + 2x = 1 + -2x + 2x Combine like terms: 30x + 2x = 32x -9 + 32x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 -9 + 32x = 1 + 0 -9 + 32x = 1 Add '9' to each side of the equation. -9 + 9 + 32x = 1 + 9 Combine like terms: -9 + 9 = 0 0 + 32x = 1 + 9 32x = 1 + 9 Combine like terms: 1 + 9 = 10 32x = 10 Divide each side by '32'. x = 0.3125 Simplifying x = 0.3125
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