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Simplifying 5(x + -16) = 3(x + -6) Reorder the terms: 5(-16 + x) = 3(x + -6) (-16 * 5 + x * 5) = 3(x + -6) (-80 + 5x) = 3(x + -6) Reorder the terms: -80 + 5x = 3(-6 + x) -80 + 5x = (-6 * 3 + x * 3) -80 + 5x = (-18 + 3x) Solving -80 + 5x = -18 + 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. -80 + 5x + -3x = -18 + 3x + -3x Combine like terms: 5x + -3x = 2x -80 + 2x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 -80 + 2x = -18 + 0 -80 + 2x = -18 Add '80' to each side of the equation. -80 + 80 + 2x = -18 + 80 Combine like terms: -80 + 80 = 0 0 + 2x = -18 + 80 2x = -18 + 80 Combine like terms: -18 + 80 = 62 2x = 62 Divide each side by '2'. x = 31 Simplifying x = 31
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