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Simplifying 4(x + -2) + -2 = -3(x + -5) Reorder the terms: 4(-2 + x) + -2 = -3(x + -5) (-2 * 4 + x * 4) + -2 = -3(x + -5) (-8 + 4x) + -2 = -3(x + -5) Reorder the terms: -8 + -2 + 4x = -3(x + -5) Combine like terms: -8 + -2 = -10 -10 + 4x = -3(x + -5) Reorder the terms: -10 + 4x = -3(-5 + x) -10 + 4x = (-5 * -3 + x * -3) -10 + 4x = (15 + -3x) Solving -10 + 4x = 15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -10 + 4x + 3x = 15 + -3x + 3x Combine like terms: 4x + 3x = 7x -10 + 7x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 -10 + 7x = 15 + 0 -10 + 7x = 15 Add '10' to each side of the equation. -10 + 10 + 7x = 15 + 10 Combine like terms: -10 + 10 = 0 0 + 7x = 15 + 10 7x = 15 + 10 Combine like terms: 15 + 10 = 25 7x = 25 Divide each side by '7'. x = 3.571428571 Simplifying x = 3.571428571
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