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Simplifying 5(6x + -8) = 14(x + -5) + -2 Reorder the terms: 5(-8 + 6x) = 14(x + -5) + -2 (-8 * 5 + 6x * 5) = 14(x + -5) + -2 (-40 + 30x) = 14(x + -5) + -2 Reorder the terms: -40 + 30x = 14(-5 + x) + -2 -40 + 30x = (-5 * 14 + x * 14) + -2 -40 + 30x = (-70 + 14x) + -2 Reorder the terms: -40 + 30x = -70 + -2 + 14x Combine like terms: -70 + -2 = -72 -40 + 30x = -72 + 14x Solving -40 + 30x = -72 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -40 + 30x + -14x = -72 + 14x + -14x Combine like terms: 30x + -14x = 16x -40 + 16x = -72 + 14x + -14x Combine like terms: 14x + -14x = 0 -40 + 16x = -72 + 0 -40 + 16x = -72 Add '40' to each side of the equation. -40 + 40 + 16x = -72 + 40 Combine like terms: -40 + 40 = 0 0 + 16x = -72 + 40 16x = -72 + 40 Combine like terms: -72 + 40 = -32 16x = -32 Divide each side by '16'. x = -2 Simplifying x = -2
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