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Simplifying 4x + 7 = 2 + -1(8x + -8) Reorder the terms: 7 + 4x = 2 + -1(8x + -8) Reorder the terms: 7 + 4x = 2 + -1(-8 + 8x) 7 + 4x = 2 + (-8 * -1 + 8x * -1) 7 + 4x = 2 + (8 + -8x) Combine like terms: 2 + 8 = 10 7 + 4x = 10 + -8x Solving 7 + 4x = 10 + -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 + 4x + 8x = 10 + -8x + 8x Combine like terms: 4x + 8x = 12x 7 + 12x = 10 + -8x + 8x Combine like terms: -8x + 8x = 0 7 + 12x = 10 + 0 7 + 12x = 10 Add '-7' to each side of the equation. 7 + -7 + 12x = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 12x = 10 + -7 12x = 10 + -7 Combine like terms: 10 + -7 = 3 12x = 3 Divide each side by '12'. x = 0.25 Simplifying x = 0.25
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