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Simplifying 2x + 5(x + -3) = x + -1(-2x + 3) Reorder the terms: 2x + 5(-3 + x) = x + -1(-2x + 3) 2x + (-3 * 5 + x * 5) = x + -1(-2x + 3) 2x + (-15 + 5x) = x + -1(-2x + 3) Reorder the terms: -15 + 2x + 5x = x + -1(-2x + 3) Combine like terms: 2x + 5x = 7x -15 + 7x = x + -1(-2x + 3) Reorder the terms: -15 + 7x = x + -1(3 + -2x) -15 + 7x = x + (3 * -1 + -2x * -1) -15 + 7x = x + (-3 + 2x) Reorder the terms: -15 + 7x = -3 + x + 2x Combine like terms: x + 2x = 3x -15 + 7x = -3 + 3x Solving -15 + 7x = -3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -15 + 7x + -3x = -3 + 3x + -3x Combine like terms: 7x + -3x = 4x -15 + 4x = -3 + 3x + -3x Combine like terms: 3x + -3x = 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 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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