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Simplifying -16 + 3(x + 2) = 5(x + -3) Reorder the terms: -16 + 3(2 + x) = 5(x + -3) -16 + (2 * 3 + x * 3) = 5(x + -3) -16 + (6 + 3x) = 5(x + -3) Combine like terms: -16 + 6 = -10 -10 + 3x = 5(x + -3) Reorder the terms: -10 + 3x = 5(-3 + x) -10 + 3x = (-3 * 5 + x * 5) -10 + 3x = (-15 + 5x) Solving -10 + 3x = -15 + 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. -10 + 3x + -5x = -15 + 5x + -5x Combine like terms: 3x + -5x = -2x -10 + -2x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + -2x = -15 + 0 -10 + -2x = -15 Add '10' to each side of the equation. -10 + 10 + -2x = -15 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = -15 + 10 -2x = -15 + 10 Combine like terms: -15 + 10 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5
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