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Simplifying 3(x + -5) + -4(2x + 1) = 6 Reorder the terms: 3(-5 + x) + -4(2x + 1) = 6 (-5 * 3 + x * 3) + -4(2x + 1) = 6 (-15 + 3x) + -4(2x + 1) = 6 Reorder the terms: -15 + 3x + -4(1 + 2x) = 6 -15 + 3x + (1 * -4 + 2x * -4) = 6 -15 + 3x + (-4 + -8x) = 6 Reorder the terms: -15 + -4 + 3x + -8x = 6 Combine like terms: -15 + -4 = -19 -19 + 3x + -8x = 6 Combine like terms: 3x + -8x = -5x -19 + -5x = 6 Solving -19 + -5x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -5x = 6 + 19 Combine like terms: -19 + 19 = 0 0 + -5x = 6 + 19 -5x = 6 + 19 Combine like terms: 6 + 19 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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