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Simplifying 5(x + -3) + -6 = 3(x + -2) + -9 Reorder the terms: 5(-3 + x) + -6 = 3(x + -2) + -9 (-3 * 5 + x * 5) + -6 = 3(x + -2) + -9 (-15 + 5x) + -6 = 3(x + -2) + -9 Reorder the terms: -15 + -6 + 5x = 3(x + -2) + -9 Combine like terms: -15 + -6 = -21 -21 + 5x = 3(x + -2) + -9 Reorder the terms: -21 + 5x = 3(-2 + x) + -9 -21 + 5x = (-2 * 3 + x * 3) + -9 -21 + 5x = (-6 + 3x) + -9 Reorder the terms: -21 + 5x = -6 + -9 + 3x Combine like terms: -6 + -9 = -15 -21 + 5x = -15 + 3x Solving -21 + 5x = -15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -21 + 5x + -3x = -15 + 3x + -3x Combine like terms: 5x + -3x = 2x -21 + 2x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -21 + 2x = -15 + 0 -21 + 2x = -15 Add '21' to each side of the equation. -21 + 21 + 2x = -15 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = -15 + 21 2x = -15 + 21 Combine like terms: -15 + 21 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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