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Simplifying (4x + 3) + -8 = 3(2 + 4x) + 17 Reorder the terms: (3 + 4x) + -8 = 3(2 + 4x) + 17 Remove parenthesis around (3 + 4x) 3 + 4x + -8 = 3(2 + 4x) + 17 Reorder the terms: 3 + -8 + 4x = 3(2 + 4x) + 17 Combine like terms: 3 + -8 = -5 -5 + 4x = 3(2 + 4x) + 17 -5 + 4x = (2 * 3 + 4x * 3) + 17 -5 + 4x = (6 + 12x) + 17 Reorder the terms: -5 + 4x = 6 + 17 + 12x Combine like terms: 6 + 17 = 23 -5 + 4x = 23 + 12x Solving -5 + 4x = 23 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -5 + 4x + -12x = 23 + 12x + -12x Combine like terms: 4x + -12x = -8x -5 + -8x = 23 + 12x + -12x Combine like terms: 12x + -12x = 0 -5 + -8x = 23 + 0 -5 + -8x = 23 Add '5' to each side of the equation. -5 + 5 + -8x = 23 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = 23 + 5 -8x = 23 + 5 Combine like terms: 23 + 5 = 28 -8x = 28 Divide each side by '-8'. x = -3.5 Simplifying x = -3.5
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