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Simplifying 5(x + -2) = -4(2x + 7) Reorder the terms: 5(-2 + x) = -4(2x + 7) (-2 * 5 + x * 5) = -4(2x + 7) (-10 + 5x) = -4(2x + 7) Reorder the terms: -10 + 5x = -4(7 + 2x) -10 + 5x = (7 * -4 + 2x * -4) -10 + 5x = (-28 + -8x) Solving -10 + 5x = -28 + -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. -10 + 5x + 8x = -28 + -8x + 8x Combine like terms: 5x + 8x = 13x -10 + 13x = -28 + -8x + 8x Combine like terms: -8x + 8x = 0 -10 + 13x = -28 + 0 -10 + 13x = -28 Add '10' to each side of the equation. -10 + 10 + 13x = -28 + 10 Combine like terms: -10 + 10 = 0 0 + 13x = -28 + 10 13x = -28 + 10 Combine like terms: -28 + 10 = -18 13x = -18 Divide each side by '13'. x = -1.384615385 Simplifying x = -1.384615385
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