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Simplifying 5(x + -2) + -4(2x + -7) = 0 Reorder the terms: 5(-2 + x) + -4(2x + -7) = 0 (-2 * 5 + x * 5) + -4(2x + -7) = 0 (-10 + 5x) + -4(2x + -7) = 0 Reorder the terms: -10 + 5x + -4(-7 + 2x) = 0 -10 + 5x + (-7 * -4 + 2x * -4) = 0 -10 + 5x + (28 + -8x) = 0 Reorder the terms: -10 + 28 + 5x + -8x = 0 Combine like terms: -10 + 28 = 18 18 + 5x + -8x = 0 Combine like terms: 5x + -8x = -3x 18 + -3x = 0 Solving 18 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -3x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -3x = 0 + -18 -3x = 0 + -18 Combine like terms: 0 + -18 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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