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Simplifying 4(x + -5) = 5(3x + 7) Reorder the terms: 4(-5 + x) = 5(3x + 7) (-5 * 4 + x * 4) = 5(3x + 7) (-20 + 4x) = 5(3x + 7) Reorder the terms: -20 + 4x = 5(7 + 3x) -20 + 4x = (7 * 5 + 3x * 5) -20 + 4x = (35 + 15x) Solving -20 + 4x = 35 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -20 + 4x + -15x = 35 + 15x + -15x Combine like terms: 4x + -15x = -11x -20 + -11x = 35 + 15x + -15x Combine like terms: 15x + -15x = 0 -20 + -11x = 35 + 0 -20 + -11x = 35 Add '20' to each side of the equation. -20 + 20 + -11x = 35 + 20 Combine like terms: -20 + 20 = 0 0 + -11x = 35 + 20 -11x = 35 + 20 Combine like terms: 35 + 20 = 55 -11x = 55 Divide each side by '-11'. x = -5 Simplifying x = -5
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