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Simplifying 5(4x + -10) + -3 = 7x + -20 + 2x Reorder the terms: 5(-10 + 4x) + -3 = 7x + -20 + 2x (-10 * 5 + 4x * 5) + -3 = 7x + -20 + 2x (-50 + 20x) + -3 = 7x + -20 + 2x Reorder the terms: -50 + -3 + 20x = 7x + -20 + 2x Combine like terms: -50 + -3 = -53 -53 + 20x = 7x + -20 + 2x Reorder the terms: -53 + 20x = -20 + 7x + 2x Combine like terms: 7x + 2x = 9x -53 + 20x = -20 + 9x Solving -53 + 20x = -20 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -53 + 20x + -9x = -20 + 9x + -9x Combine like terms: 20x + -9x = 11x -53 + 11x = -20 + 9x + -9x Combine like terms: 9x + -9x = 0 -53 + 11x = -20 + 0 -53 + 11x = -20 Add '53' to each side of the equation. -53 + 53 + 11x = -20 + 53 Combine like terms: -53 + 53 = 0 0 + 11x = -20 + 53 11x = -20 + 53 Combine like terms: -20 + 53 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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