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Simplifying 2(2x + -3) + -7x = 23 + -5(x + 3) Reorder the terms: 2(-3 + 2x) + -7x = 23 + -5(x + 3) (-3 * 2 + 2x * 2) + -7x = 23 + -5(x + 3) (-6 + 4x) + -7x = 23 + -5(x + 3) Combine like terms: 4x + -7x = -3x -6 + -3x = 23 + -5(x + 3) Reorder the terms: -6 + -3x = 23 + -5(3 + x) -6 + -3x = 23 + (3 * -5 + x * -5) -6 + -3x = 23 + (-15 + -5x) Combine like terms: 23 + -15 = 8 -6 + -3x = 8 + -5x Solving -6 + -3x = 8 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -6 + -3x + 5x = 8 + -5x + 5x Combine like terms: -3x + 5x = 2x -6 + 2x = 8 + -5x + 5x Combine like terms: -5x + 5x = 0 -6 + 2x = 8 + 0 -6 + 2x = 8 Add '6' to each side of the equation. -6 + 6 + 2x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 8 + 6 2x = 8 + 6 Combine like terms: 8 + 6 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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