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Simplifying 2x + -3(5 + -3x) = 7x + 3 2x + (5 * -3 + -3x * -3) = 7x + 3 2x + (-15 + 9x) = 7x + 3 Reorder the terms: -15 + 2x + 9x = 7x + 3 Combine like terms: 2x + 9x = 11x -15 + 11x = 7x + 3 Reorder the terms: -15 + 11x = 3 + 7x Solving -15 + 11x = 3 + 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. -15 + 11x + -7x = 3 + 7x + -7x Combine like terms: 11x + -7x = 4x -15 + 4x = 3 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + 4x = 3 + 0 -15 + 4x = 3 Add '15' to each side of the equation. -15 + 15 + 4x = 3 + 15 Combine like terms: -15 + 15 = 0 0 + 4x = 3 + 15 4x = 3 + 15 Combine like terms: 3 + 15 = 18 4x = 18 Divide each side by '4'. x = 4.5 Simplifying x = 4.5
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