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Simplifying 14x + -8(-5 + 2x) = 7x + (-5) 14x + (-5 * -8 + 2x * -8) = 7x + (-5) 14x + (40 + -16x) = 7x + (-5) Reorder the terms: 40 + 14x + -16x = 7x + (-5) Combine like terms: 14x + -16x = -2x 40 + -2x = 7x + (-5) 40 + -2x = 7x + -5 Reorder the terms: 40 + -2x = -5 + 7x Solving 40 + -2x = -5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 40 + -2x + -7x = -5 + 7x + -7x Combine like terms: -2x + -7x = -9x 40 + -9x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 40 + -9x = -5 + 0 40 + -9x = -5 Add '-40' to each side of the equation. 40 + -40 + -9x = -5 + -40 Combine like terms: 40 + -40 = 0 0 + -9x = -5 + -40 -9x = -5 + -40 Combine like terms: -5 + -40 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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