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Simplifying 4(x + 3) = 2(7 + -4x) + 5 Reorder the terms: 4(3 + x) = 2(7 + -4x) + 5 (3 * 4 + x * 4) = 2(7 + -4x) + 5 (12 + 4x) = 2(7 + -4x) + 5 12 + 4x = (7 * 2 + -4x * 2) + 5 12 + 4x = (14 + -8x) + 5 Reorder the terms: 12 + 4x = 14 + 5 + -8x Combine like terms: 14 + 5 = 19 12 + 4x = 19 + -8x Solving 12 + 4x = 19 + -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. 12 + 4x + 8x = 19 + -8x + 8x Combine like terms: 4x + 8x = 12x 12 + 12x = 19 + -8x + 8x Combine like terms: -8x + 8x = 0 12 + 12x = 19 + 0 12 + 12x = 19 Add '-12' to each side of the equation. 12 + -12 + 12x = 19 + -12 Combine like terms: 12 + -12 = 0 0 + 12x = 19 + -12 12x = 19 + -12 Combine like terms: 19 + -12 = 7 12x = 7 Divide each side by '12'. x = 0.5833333333 Simplifying x = 0.5833333333
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