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Simplifying 2x + 16 = 5(3x + -2) Reorder the terms: 16 + 2x = 5(3x + -2) Reorder the terms: 16 + 2x = 5(-2 + 3x) 16 + 2x = (-2 * 5 + 3x * 5) 16 + 2x = (-10 + 15x) Solving 16 + 2x = -10 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 16 + 2x + -15x = -10 + 15x + -15x Combine like terms: 2x + -15x = -13x 16 + -13x = -10 + 15x + -15x Combine like terms: 15x + -15x = 0 16 + -13x = -10 + 0 16 + -13x = -10 Add '-16' to each side of the equation. 16 + -16 + -13x = -10 + -16 Combine like terms: 16 + -16 = 0 0 + -13x = -10 + -16 -13x = -10 + -16 Combine like terms: -10 + -16 = -26 -13x = -26 Divide each side by '-13'. x = 2 Simplifying x = 2
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