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Simplifying 7(x + -8) + 4 = 2x + -7 Reorder the terms: 7(-8 + x) + 4 = 2x + -7 (-8 * 7 + x * 7) + 4 = 2x + -7 (-56 + 7x) + 4 = 2x + -7 Reorder the terms: -56 + 4 + 7x = 2x + -7 Combine like terms: -56 + 4 = -52 -52 + 7x = 2x + -7 Reorder the terms: -52 + 7x = -7 + 2x Solving -52 + 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. -52 + 7x + -2x = -7 + 2x + -2x Combine like terms: 7x + -2x = 5x -52 + 5x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 -52 + 5x = -7 + 0 -52 + 5x = -7 Add '52' to each side of the equation. -52 + 52 + 5x = -7 + 52 Combine like terms: -52 + 52 = 0 0 + 5x = -7 + 52 5x = -7 + 52 Combine like terms: -7 + 52 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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