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Simplifying 7(x + -8) + 16 = 2(x + -5) Reorder the terms: 7(-8 + x) + 16 = 2(x + -5) (-8 * 7 + x * 7) + 16 = 2(x + -5) (-56 + 7x) + 16 = 2(x + -5) Reorder the terms: -56 + 16 + 7x = 2(x + -5) Combine like terms: -56 + 16 = -40 -40 + 7x = 2(x + -5) Reorder the terms: -40 + 7x = 2(-5 + x) -40 + 7x = (-5 * 2 + x * 2) -40 + 7x = (-10 + 2x) Solving -40 + 7x = -10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -40 + 7x + -2x = -10 + 2x + -2x Combine like terms: 7x + -2x = 5x -40 + 5x = -10 + 2x + -2x Combine like terms: 2x + -2x = 0 -40 + 5x = -10 + 0 -40 + 5x = -10 Add '40' to each side of the equation. -40 + 40 + 5x = -10 + 40 Combine like terms: -40 + 40 = 0 0 + 5x = -10 + 40 5x = -10 + 40 Combine like terms: -10 + 40 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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