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Simplifying -2x + 40 = 6x + 8(x + -5) Reorder the terms: 40 + -2x = 6x + 8(x + -5) Reorder the terms: 40 + -2x = 6x + 8(-5 + x) 40 + -2x = 6x + (-5 * 8 + x * 8) 40 + -2x = 6x + (-40 + 8x) Reorder the terms: 40 + -2x = -40 + 6x + 8x Combine like terms: 6x + 8x = 14x 40 + -2x = -40 + 14x Solving 40 + -2x = -40 + 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 + -2x + -14x = -40 + 14x + -14x Combine like terms: -2x + -14x = -16x 40 + -16x = -40 + 14x + -14x Combine like terms: 14x + -14x = 0 40 + -16x = -40 + 0 40 + -16x = -40 Add '-40' to each side of the equation. 40 + -40 + -16x = -40 + -40 Combine like terms: 40 + -40 = 0 0 + -16x = -40 + -40 -16x = -40 + -40 Combine like terms: -40 + -40 = -80 -16x = -80 Divide each side by '-16'. x = 5 Simplifying x = 5
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