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Simplifying 4(x + 3 + -2x) + 5(x + -4) = -2 Reorder the terms: 4(3 + x + -2x) + 5(x + -4) = -2 Combine like terms: x + -2x = -1x 4(3 + -1x) + 5(x + -4) = -2 (3 * 4 + -1x * 4) + 5(x + -4) = -2 (12 + -4x) + 5(x + -4) = -2 Reorder the terms: 12 + -4x + 5(-4 + x) = -2 12 + -4x + (-4 * 5 + x * 5) = -2 12 + -4x + (-20 + 5x) = -2 Reorder the terms: 12 + -20 + -4x + 5x = -2 Combine like terms: 12 + -20 = -8 -8 + -4x + 5x = -2 Combine like terms: -4x + 5x = 1x -8 + 1x = -2 Solving -8 + 1x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 1x = -2 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = -2 + 8 1x = -2 + 8 Combine like terms: -2 + 8 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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