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Simplifying 5(x + -7) + 12 = x + 5 Reorder the terms: 5(-7 + x) + 12 = x + 5 (-7 * 5 + x * 5) + 12 = x + 5 (-35 + 5x) + 12 = x + 5 Reorder the terms: -35 + 12 + 5x = x + 5 Combine like terms: -35 + 12 = -23 -23 + 5x = x + 5 Reorder the terms: -23 + 5x = 5 + x Solving -23 + 5x = 5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -23 + 5x + -1x = 5 + x + -1x Combine like terms: 5x + -1x = 4x -23 + 4x = 5 + x + -1x Combine like terms: x + -1x = 0 -23 + 4x = 5 + 0 -23 + 4x = 5 Add '23' to each side of the equation. -23 + 23 + 4x = 5 + 23 Combine like terms: -23 + 23 = 0 0 + 4x = 5 + 23 4x = 5 + 23 Combine like terms: 5 + 23 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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