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Simplifying 6 + 3(3x + -5 + 7x) = -2(2x + -1) Reorder the terms: 6 + 3(-5 + 3x + 7x) = -2(2x + -1) Combine like terms: 3x + 7x = 10x 6 + 3(-5 + 10x) = -2(2x + -1) 6 + (-5 * 3 + 10x * 3) = -2(2x + -1) 6 + (-15 + 30x) = -2(2x + -1) Combine like terms: 6 + -15 = -9 -9 + 30x = -2(2x + -1) Reorder the terms: -9 + 30x = -2(-1 + 2x) -9 + 30x = (-1 * -2 + 2x * -2) -9 + 30x = (2 + -4x) Solving -9 + 30x = 2 + -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. -9 + 30x + 4x = 2 + -4x + 4x Combine like terms: 30x + 4x = 34x -9 + 34x = 2 + -4x + 4x Combine like terms: -4x + 4x = 0 -9 + 34x = 2 + 0 -9 + 34x = 2 Add '9' to each side of the equation. -9 + 9 + 34x = 2 + 9 Combine like terms: -9 + 9 = 0 0 + 34x = 2 + 9 34x = 2 + 9 Combine like terms: 2 + 9 = 11 34x = 11 Divide each side by '34'. x = 0.3235294118 Simplifying x = 0.3235294118
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