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Simplifying 3(x + -5) = -2(2x + 4) Reorder the terms: 3(-5 + x) = -2(2x + 4) (-5 * 3 + x * 3) = -2(2x + 4) (-15 + 3x) = -2(2x + 4) Reorder the terms: -15 + 3x = -2(4 + 2x) -15 + 3x = (4 * -2 + 2x * -2) -15 + 3x = (-8 + -4x) Solving -15 + 3x = -8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -15 + 3x + 4x = -8 + -4x + 4x Combine like terms: 3x + 4x = 7x -15 + 7x = -8 + -4x + 4x Combine like terms: -4x + 4x = 0 -15 + 7x = -8 + 0 -15 + 7x = -8 Add '15' to each side of the equation. -15 + 15 + 7x = -8 + 15 Combine like terms: -15 + 15 = 0 0 + 7x = -8 + 15 7x = -8 + 15 Combine like terms: -8 + 15 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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