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Simplifying 5(x + -4) = 3(x + -5) + 4x Reorder the terms: 5(-4 + x) = 3(x + -5) + 4x (-4 * 5 + x * 5) = 3(x + -5) + 4x (-20 + 5x) = 3(x + -5) + 4x Reorder the terms: -20 + 5x = 3(-5 + x) + 4x -20 + 5x = (-5 * 3 + x * 3) + 4x -20 + 5x = (-15 + 3x) + 4x Combine like terms: 3x + 4x = 7x -20 + 5x = -15 + 7x Solving -20 + 5x = -15 + 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. -20 + 5x + -7x = -15 + 7x + -7x Combine like terms: 5x + -7x = -2x -20 + -2x = -15 + 7x + -7x Combine like terms: 7x + -7x = 0 -20 + -2x = -15 + 0 -20 + -2x = -15 Add '20' to each side of the equation. -20 + 20 + -2x = -15 + 20 Combine like terms: -20 + 20 = 0 0 + -2x = -15 + 20 -2x = -15 + 20 Combine like terms: -15 + 20 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5
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