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Simplifying 4(7x + -1) + 3(2.5x) + -4(3x + 5) = -6 Reorder the terms: 4(-1 + 7x) + 3(2.5x) + -4(3x + 5) = -6 (-1 * 4 + 7x * 4) + 3(2.5x) + -4(3x + 5) = -6 (-4 + 28x) + 3(2.5x) + -4(3x + 5) = -6 Remove parenthesis around (2.5x) -4 + 28x + 3 * 2.5x + -4(3x + 5) = -6 Multiply 3 * 2.5 -4 + 28x + 7.5x + -4(3x + 5) = -6 Reorder the terms: -4 + 28x + 7.5x + -4(5 + 3x) = -6 -4 + 28x + 7.5x + (5 * -4 + 3x * -4) = -6 -4 + 28x + 7.5x + (-20 + -12x) = -6 Reorder the terms: -4 + -20 + 28x + 7.5x + -12x = -6 Combine like terms: -4 + -20 = -24 -24 + 28x + 7.5x + -12x = -6 Combine like terms: 28x + 7.5x = 35.5x -24 + 35.5x + -12x = -6 Combine like terms: 35.5x + -12x = 23.5x -24 + 23.5x = -6 Solving -24 + 23.5x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 23.5x = -6 + 24 Combine like terms: -24 + 24 = 0 0 + 23.5x = -6 + 24 23.5x = -6 + 24 Combine like terms: -6 + 24 = 18 23.5x = 18 Divide each side by '23.5'. x = 0.7659574468 Simplifying x = 0.7659574468
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