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Simplifying 5x + -2(5 + -3x) = 7x + -1 5x + (5 * -2 + -3x * -2) = 7x + -1 5x + (-10 + 6x) = 7x + -1 Reorder the terms: -10 + 5x + 6x = 7x + -1 Combine like terms: 5x + 6x = 11x -10 + 11x = 7x + -1 Reorder the terms: -10 + 11x = -1 + 7x Solving -10 + 11x = -1 + 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. -10 + 11x + -7x = -1 + 7x + -7x Combine like terms: 11x + -7x = 4x -10 + 4x = -1 + 7x + -7x Combine like terms: 7x + -7x = 0 -10 + 4x = -1 + 0 -10 + 4x = -1 Add '10' to each side of the equation. -10 + 10 + 4x = -1 + 10 Combine like terms: -10 + 10 = 0 0 + 4x = -1 + 10 4x = -1 + 10 Combine like terms: -1 + 10 = 9 4x = 9 Divide each side by '4'. x = 2.25 Simplifying x = 2.25
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