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Simplifying 3 + 5 = 2(4x + 1) + -7 Combine like terms: 3 + 5 = 8 8 = 2(4x + 1) + -7 Reorder the terms: 8 = 2(1 + 4x) + -7 8 = (1 * 2 + 4x * 2) + -7 8 = (2 + 8x) + -7 Reorder the terms: 8 = 2 + -7 + 8x Combine like terms: 2 + -7 = -5 8 = -5 + 8x Solving 8 = -5 + 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. 8 + -8x = -5 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + -8x = -5 + 0 8 + -8x = -5 Add '-8' to each side of the equation. 8 + -8 + -8x = -5 + -8 Combine like terms: 8 + -8 = 0 0 + -8x = -5 + -8 -8x = -5 + -8 Combine like terms: -5 + -8 = -13 -8x = -13 Divide each side by '-8'. x = 1.625 Simplifying x = 1.625
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