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Simplifying 5(-2x + -3 + -4(x + 1)) = 7x + -4 Reorder the terms: 5(-2x + -3 + -4(1 + x)) = 7x + -4 5(-2x + -3 + (1 * -4 + x * -4)) = 7x + -4 5(-2x + -3 + (-4 + -4x)) = 7x + -4 Reorder the terms: 5(-3 + -4 + -2x + -4x) = 7x + -4 Combine like terms: -3 + -4 = -7 5(-7 + -2x + -4x) = 7x + -4 Combine like terms: -2x + -4x = -6x 5(-7 + -6x) = 7x + -4 (-7 * 5 + -6x * 5) = 7x + -4 (-35 + -30x) = 7x + -4 Reorder the terms: -35 + -30x = -4 + 7x Solving -35 + -30x = -4 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -35 + -30x + -7x = -4 + 7x + -7x Combine like terms: -30x + -7x = -37x -35 + -37x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 -35 + -37x = -4 + 0 -35 + -37x = -4 Add '35' to each side of the equation. -35 + 35 + -37x = -4 + 35 Combine like terms: -35 + 35 = 0 0 + -37x = -4 + 35 -37x = -4 + 35 Combine like terms: -4 + 35 = 31 -37x = 31 Divide each side by '-37'. x = -0.8378378378 Simplifying x = -0.8378378378
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