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Simplifying 6x + -1(3x + 9) = 5x + -23 Reorder the terms: 6x + -1(9 + 3x) = 5x + -23 6x + (9 * -1 + 3x * -1) = 5x + -23 6x + (-9 + -3x) = 5x + -23 Reorder the terms: -9 + 6x + -3x = 5x + -23 Combine like terms: 6x + -3x = 3x -9 + 3x = 5x + -23 Reorder the terms: -9 + 3x = -23 + 5x Solving -9 + 3x = -23 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -9 + 3x + -5x = -23 + 5x + -5x Combine like terms: 3x + -5x = -2x -9 + -2x = -23 + 5x + -5x Combine like terms: 5x + -5x = 0 -9 + -2x = -23 + 0 -9 + -2x = -23 Add '9' to each side of the equation. -9 + 9 + -2x = -23 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = -23 + 9 -2x = -23 + 9 Combine like terms: -23 + 9 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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