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Simplifying 5(x + -6) + 16 = 2(x + -4) Reorder the terms: 5(-6 + x) + 16 = 2(x + -4) (-6 * 5 + x * 5) + 16 = 2(x + -4) (-30 + 5x) + 16 = 2(x + -4) Reorder the terms: -30 + 16 + 5x = 2(x + -4) Combine like terms: -30 + 16 = -14 -14 + 5x = 2(x + -4) Reorder the terms: -14 + 5x = 2(-4 + x) -14 + 5x = (-4 * 2 + x * 2) -14 + 5x = (-8 + 2x) Solving -14 + 5x = -8 + 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. -14 + 5x + -2x = -8 + 2x + -2x Combine like terms: 5x + -2x = 3x -14 + 3x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 -14 + 3x = -8 + 0 -14 + 3x = -8 Add '14' to each side of the equation. -14 + 14 + 3x = -8 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = -8 + 14 3x = -8 + 14 Combine like terms: -8 + 14 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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