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Simplifying 8(x + -5) + 25 = 7x + -2 Reorder the terms: 8(-5 + x) + 25 = 7x + -2 (-5 * 8 + x * 8) + 25 = 7x + -2 (-40 + 8x) + 25 = 7x + -2 Reorder the terms: -40 + 25 + 8x = 7x + -2 Combine like terms: -40 + 25 = -15 -15 + 8x = 7x + -2 Reorder the terms: -15 + 8x = -2 + 7x Solving -15 + 8x = -2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -15 + 8x + -7x = -2 + 7x + -7x Combine like terms: 8x + -7x = 1x -15 + 1x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + 1x = -2 + 0 -15 + 1x = -2 Add '15' to each side of the equation. -15 + 15 + 1x = -2 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = -2 + 15 1x = -2 + 15 Combine like terms: -2 + 15 = 13 1x = 13 Divide each side by '1'. x = 13 Simplifying x = 13
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