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Simplifying 4x + 7 = 8 + -1(8x + -4) Reorder the terms: 7 + 4x = 8 + -1(8x + -4) Reorder the terms: 7 + 4x = 8 + -1(-4 + 8x) 7 + 4x = 8 + (-4 * -1 + 8x * -1) 7 + 4x = 8 + (4 + -8x) Combine like terms: 8 + 4 = 12 7 + 4x = 12 + -8x Solving 7 + 4x = 12 + -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 = 12 + -8x + 8x Combine like terms: 4x + 8x = 12x 7 + 12x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 7 + 12x = 12 + 0 7 + 12x = 12 Add '-7' to each side of the equation. 7 + -7 + 12x = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 12x = 12 + -7 12x = 12 + -7 Combine like terms: 12 + -7 = 5 12x = 5 Divide each side by '12'. x = 0.4166666667 Simplifying x = 0.4166666667
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