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Simplifying 7 = 8(x + 5) + 5 Reorder the terms: 7 = 8(5 + x) + 5 7 = (5 * 8 + x * 8) + 5 7 = (40 + 8x) + 5 Reorder the terms: 7 = 40 + 5 + 8x Combine like terms: 40 + 5 = 45 7 = 45 + 8x Solving 7 = 45 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 7 + -8x = 45 + 8x + -8x Combine like terms: 8x + -8x = 0 7 + -8x = 45 + 0 7 + -8x = 45 Add '-7' to each side of the equation. 7 + -7 + -8x = 45 + -7 Combine like terms: 7 + -7 = 0 0 + -8x = 45 + -7 -8x = 45 + -7 Combine like terms: 45 + -7 = 38 -8x = 38 Divide each side by '-8'. x = -4.75 Simplifying x = -4.75
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