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Simplifying -7(1 + -1x) + 15 = 3(x + 8) (1 * -7 + -1x * -7) + 15 = 3(x + 8) (-7 + 7x) + 15 = 3(x + 8) Reorder the terms: -7 + 15 + 7x = 3(x + 8) Combine like terms: -7 + 15 = 8 8 + 7x = 3(x + 8) Reorder the terms: 8 + 7x = 3(8 + x) 8 + 7x = (8 * 3 + x * 3) 8 + 7x = (24 + 3x) Solving 8 + 7x = 24 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8 + 7x + -3x = 24 + 3x + -3x Combine like terms: 7x + -3x = 4x 8 + 4x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 4x = 24 + 0 8 + 4x = 24 Add '-8' to each side of the equation. 8 + -8 + 4x = 24 + -8 Combine like terms: 8 + -8 = 0 0 + 4x = 24 + -8 4x = 24 + -8 Combine like terms: 24 + -8 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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