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Simplifying 5(x + -3) = 9(x + -1) + 6 Reorder the terms: 5(-3 + x) = 9(x + -1) + 6 (-3 * 5 + x * 5) = 9(x + -1) + 6 (-15 + 5x) = 9(x + -1) + 6 Reorder the terms: -15 + 5x = 9(-1 + x) + 6 -15 + 5x = (-1 * 9 + x * 9) + 6 -15 + 5x = (-9 + 9x) + 6 Reorder the terms: -15 + 5x = -9 + 6 + 9x Combine like terms: -9 + 6 = -3 -15 + 5x = -3 + 9x Solving -15 + 5x = -3 + 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. -15 + 5x + -9x = -3 + 9x + -9x Combine like terms: 5x + -9x = -4x -15 + -4x = -3 + 9x + -9x Combine like terms: 9x + -9x = 0 -15 + -4x = -3 + 0 -15 + -4x = -3 Add '15' to each side of the equation. -15 + 15 + -4x = -3 + 15 Combine like terms: -15 + 15 = 0 0 + -4x = -3 + 15 -4x = -3 + 15 Combine like terms: -3 + 15 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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