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Simplifying 6 + 9x + -15 + 21x = -2x + 1 Reorder the terms: 6 + -15 + 9x + 21x = -2x + 1 Combine like terms: 6 + -15 = -9 -9 + 9x + 21x = -2x + 1 Combine like terms: 9x + 21x = 30x -9 + 30x = -2x + 1 Reorder the terms: -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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