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Simplifying 7(x + -4) + 5 = 2x + 7 Reorder the terms: 7(-4 + x) + 5 = 2x + 7 (-4 * 7 + x * 7) + 5 = 2x + 7 (-28 + 7x) + 5 = 2x + 7 Reorder the terms: -28 + 5 + 7x = 2x + 7 Combine like terms: -28 + 5 = -23 -23 + 7x = 2x + 7 Reorder the terms: -23 + 7x = 7 + 2x Solving -23 + 7x = 7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -23 + 7x + -2x = 7 + 2x + -2x Combine like terms: 7x + -2x = 5x -23 + 5x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 -23 + 5x = 7 + 0 -23 + 5x = 7 Add '23' to each side of the equation. -23 + 23 + 5x = 7 + 23 Combine like terms: -23 + 23 = 0 0 + 5x = 7 + 23 5x = 7 + 23 Combine like terms: 7 + 23 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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