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Simplifying 4x + -6 + -3x + -15 = 27 + -9x + 18 Reorder the terms: -6 + -15 + 4x + -3x = 27 + -9x + 18 Combine like terms: -6 + -15 = -21 -21 + 4x + -3x = 27 + -9x + 18 Combine like terms: 4x + -3x = 1x -21 + 1x = 27 + -9x + 18 Reorder the terms: -21 + 1x = 27 + 18 + -9x Combine like terms: 27 + 18 = 45 -21 + 1x = 45 + -9x Solving -21 + 1x = 45 + -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. -21 + 1x + 9x = 45 + -9x + 9x Combine like terms: 1x + 9x = 10x -21 + 10x = 45 + -9x + 9x Combine like terms: -9x + 9x = 0 -21 + 10x = 45 + 0 -21 + 10x = 45 Add '21' to each side of the equation. -21 + 21 + 10x = 45 + 21 Combine like terms: -21 + 21 = 0 0 + 10x = 45 + 21 10x = 45 + 21 Combine like terms: 45 + 21 = 66 10x = 66 Divide each side by '10'. x = 6.6 Simplifying x = 6.6
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