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Simplifying 7(16x + -6) = 8(21x + -5) Reorder the terms: 7(-6 + 16x) = 8(21x + -5) (-6 * 7 + 16x * 7) = 8(21x + -5) (-42 + 112x) = 8(21x + -5) Reorder the terms: -42 + 112x = 8(-5 + 21x) -42 + 112x = (-5 * 8 + 21x * 8) -42 + 112x = (-40 + 168x) Solving -42 + 112x = -40 + 168x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-168x' to each side of the equation. -42 + 112x + -168x = -40 + 168x + -168x Combine like terms: 112x + -168x = -56x -42 + -56x = -40 + 168x + -168x Combine like terms: 168x + -168x = 0 -42 + -56x = -40 + 0 -42 + -56x = -40 Add '42' to each side of the equation. -42 + 42 + -56x = -40 + 42 Combine like terms: -42 + 42 = 0 0 + -56x = -40 + 42 -56x = -40 + 42 Combine like terms: -40 + 42 = 2 -56x = 2 Divide each side by '-56'. x = -0.03571428571 Simplifying x = -0.03571428571
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