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Simplifying 5(x + -6) + 3 = 3(x + -5) Reorder the terms: 5(-6 + x) + 3 = 3(x + -5) (-6 * 5 + x * 5) + 3 = 3(x + -5) (-30 + 5x) + 3 = 3(x + -5) Reorder the terms: -30 + 3 + 5x = 3(x + -5) Combine like terms: -30 + 3 = -27 -27 + 5x = 3(x + -5) Reorder the terms: -27 + 5x = 3(-5 + x) -27 + 5x = (-5 * 3 + x * 3) -27 + 5x = (-15 + 3x) Solving -27 + 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. -27 + 5x + -3x = -15 + 3x + -3x Combine like terms: 5x + -3x = 2x -27 + 2x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -27 + 2x = -15 + 0 -27 + 2x = -15 Add '27' to each side of the equation. -27 + 27 + 2x = -15 + 27 Combine like terms: -27 + 27 = 0 0 + 2x = -15 + 27 2x = -15 + 27 Combine like terms: -15 + 27 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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