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Simplifying 5(x + -2) = 4 + -1(14 + 8x) Reorder the terms: 5(-2 + x) = 4 + -1(14 + 8x) (-2 * 5 + x * 5) = 4 + -1(14 + 8x) (-10 + 5x) = 4 + -1(14 + 8x) -10 + 5x = 4 + (14 * -1 + 8x * -1) -10 + 5x = 4 + (-14 + -8x) Combine like terms: 4 + -14 = -10 -10 + 5x = -10 + -8x Add '10' to each side of the equation. -10 + 10 + 5x = -10 + 10 + -8x Combine like terms: -10 + 10 = 0 0 + 5x = -10 + 10 + -8x 5x = -10 + 10 + -8x Combine like terms: -10 + 10 = 0 5x = 0 + -8x 5x = -8x Solving 5x = -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 5x + 8x = -8x + 8x Combine like terms: 5x + 8x = 13x 13x = -8x + 8x Combine like terms: -8x + 8x = 0 13x = 0 Divide each side by '13'. x = 0 Simplifying x = 0
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