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Simplifying 4(x + -5) * 5 = 6x + 7.4 + -4x Reorder the terms: 4(-5 + x) * 5 = 6x + 7.4 + -4x Reorder the terms for easier multiplication: 4 * 5(-5 + x) = 6x + 7.4 + -4x Multiply 4 * 5 20(-5 + x) = 6x + 7.4 + -4x (-5 * 20 + x * 20) = 6x + 7.4 + -4x (-100 + 20x) = 6x + 7.4 + -4x Reorder the terms: -100 + 20x = 7.4 + 6x + -4x Combine like terms: 6x + -4x = 2x -100 + 20x = 7.4 + 2x Solving -100 + 20x = 7.4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -100 + 20x + -2x = 7.4 + 2x + -2x Combine like terms: 20x + -2x = 18x -100 + 18x = 7.4 + 2x + -2x Combine like terms: 2x + -2x = 0 -100 + 18x = 7.4 + 0 -100 + 18x = 7.4 Add '100' to each side of the equation. -100 + 100 + 18x = 7.4 + 100 Combine like terms: -100 + 100 = 0 0 + 18x = 7.4 + 100 18x = 7.4 + 100 Combine like terms: 7.4 + 100 = 107.4 18x = 107.4 Divide each side by '18'. x = 5.966666667 Simplifying x = 5.966666667
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