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Simplifying 5(x + -5) + -5 = 6x + 7.4 + -4x Reorder the terms: 5(-5 + x) + -5 = 6x + 7.4 + -4x (-5 * 5 + x * 5) + -5 = 6x + 7.4 + -4x (-25 + 5x) + -5 = 6x + 7.4 + -4x Reorder the terms: -25 + -5 + 5x = 6x + 7.4 + -4x Combine like terms: -25 + -5 = -30 -30 + 5x = 6x + 7.4 + -4x Reorder the terms: -30 + 5x = 7.4 + 6x + -4x Combine like terms: 6x + -4x = 2x -30 + 5x = 7.4 + 2x Solving -30 + 5x = 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. -30 + 5x + -2x = 7.4 + 2x + -2x Combine like terms: 5x + -2x = 3x -30 + 3x = 7.4 + 2x + -2x Combine like terms: 2x + -2x = 0 -30 + 3x = 7.4 + 0 -30 + 3x = 7.4 Add '30' to each side of the equation. -30 + 30 + 3x = 7.4 + 30 Combine like terms: -30 + 30 = 0 0 + 3x = 7.4 + 30 3x = 7.4 + 30 Combine like terms: 7.4 + 30 = 37.4 3x = 37.4 Divide each side by '3'. x = 12.46666667 Simplifying x = 12.46666667
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