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Simplifying 5x + -15 + -7x + 21 = 3x + -3x + -9 + -9x + 27 Reorder the terms: -15 + 21 + 5x + -7x = 3x + -3x + -9 + -9x + 27 Combine like terms: -15 + 21 = 6 6 + 5x + -7x = 3x + -3x + -9 + -9x + 27 Combine like terms: 5x + -7x = -2x 6 + -2x = 3x + -3x + -9 + -9x + 27 Reorder the terms: 6 + -2x = -9 + 27 + 3x + -3x + -9x Combine like terms: -9 + 27 = 18 6 + -2x = 18 + 3x + -3x + -9x Combine like terms: 3x + -3x = 0 6 + -2x = 18 + 0 + -9x 6 + -2x = 18 + -9x Solving 6 + -2x = 18 + -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. 6 + -2x + 9x = 18 + -9x + 9x Combine like terms: -2x + 9x = 7x 6 + 7x = 18 + -9x + 9x Combine like terms: -9x + 9x = 0 6 + 7x = 18 + 0 6 + 7x = 18 Add '-6' to each side of the equation. 6 + -6 + 7x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = 18 + -6 7x = 18 + -6 Combine like terms: 18 + -6 = 12 7x = 12 Divide each side by '7'. x = 1.714285714 Simplifying x = 1.714285714
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