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Simplifying x + 8 = 4(-1x + 7) Reorder the terms: 8 + x = 4(-1x + 7) Reorder the terms: 8 + x = 4(7 + -1x) 8 + x = (7 * 4 + -1x * 4) 8 + x = (28 + -4x) Solving 8 + x = 28 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 8 + x + 4x = 28 + -4x + 4x Combine like terms: x + 4x = 5x 8 + 5x = 28 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 5x = 28 + 0 8 + 5x = 28 Add '-8' to each side of the equation. 8 + -8 + 5x = 28 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 28 + -8 5x = 28 + -8 Combine like terms: 28 + -8 = 20 5x = 20 Divide each side by '5'. x = 4 Simplifying x = 4
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