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Simplifying 5(x + -2) + -4(x + -3) = 6 Reorder the terms: 5(-2 + x) + -4(x + -3) = 6 (-2 * 5 + x * 5) + -4(x + -3) = 6 (-10 + 5x) + -4(x + -3) = 6 Reorder the terms: -10 + 5x + -4(-3 + x) = 6 -10 + 5x + (-3 * -4 + x * -4) = 6 -10 + 5x + (12 + -4x) = 6 Reorder the terms: -10 + 12 + 5x + -4x = 6 Combine like terms: -10 + 12 = 2 2 + 5x + -4x = 6 Combine like terms: 5x + -4x = 1x 2 + 1x = 6 Solving 2 + 1x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 1x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 6 + -2 1x = 6 + -2 Combine like terms: 6 + -2 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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