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Simplifying 4(x + -5) + -5 = 6x + 7.4 + 4x Reorder the terms: 4(-5 + x) + -5 = 6x + 7.4 + 4x (-5 * 4 + x * 4) + -5 = 6x + 7.4 + 4x (-20 + 4x) + -5 = 6x + 7.4 + 4x Reorder the terms: -20 + -5 + 4x = 6x + 7.4 + 4x Combine like terms: -20 + -5 = -25 -25 + 4x = 6x + 7.4 + 4x Reorder the terms: -25 + 4x = 7.4 + 6x + 4x Combine like terms: 6x + 4x = 10x -25 + 4x = 7.4 + 10x Solving -25 + 4x = 7.4 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -25 + 4x + -10x = 7.4 + 10x + -10x Combine like terms: 4x + -10x = -6x -25 + -6x = 7.4 + 10x + -10x Combine like terms: 10x + -10x = 0 -25 + -6x = 7.4 + 0 -25 + -6x = 7.4 Add '25' to each side of the equation. -25 + 25 + -6x = 7.4 + 25 Combine like terms: -25 + 25 = 0 0 + -6x = 7.4 + 25 -6x = 7.4 + 25 Combine like terms: 7.4 + 25 = 32.4 -6x = 32.4 Divide each side by '-6'. x = -5.4 Simplifying x = -5.4
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