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Simplifying 3x + 5 = 2(4x + 1) + -7 Reorder the terms: 5 + 3x = 2(4x + 1) + -7 Reorder the terms: 5 + 3x = 2(1 + 4x) + -7 5 + 3x = (1 * 2 + 4x * 2) + -7 5 + 3x = (2 + 8x) + -7 Reorder the terms: 5 + 3x = 2 + -7 + 8x Combine like terms: 2 + -7 = -5 5 + 3x = -5 + 8x Solving 5 + 3x = -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. 5 + 3x + -8x = -5 + 8x + -8x Combine like terms: 3x + -8x = -5x 5 + -5x = -5 + 8x + -8x Combine like terms: 8x + -8x = 0 5 + -5x = -5 + 0 5 + -5x = -5 Add '-5' to each side of the equation. 5 + -5 + -5x = -5 + -5 Combine like terms: 5 + -5 = 0 0 + -5x = -5 + -5 -5x = -5 + -5 Combine like terms: -5 + -5 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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