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Simplifying 3x + -17 + 4(x + 3) = 5 + -2(x + -6) + 14 Reorder the terms: 3x + -17 + 4(3 + x) = 5 + -2(x + -6) + 14 3x + -17 + (3 * 4 + x * 4) = 5 + -2(x + -6) + 14 3x + -17 + (12 + 4x) = 5 + -2(x + -6) + 14 Reorder the terms: -17 + 12 + 3x + 4x = 5 + -2(x + -6) + 14 Combine like terms: -17 + 12 = -5 -5 + 3x + 4x = 5 + -2(x + -6) + 14 Combine like terms: 3x + 4x = 7x -5 + 7x = 5 + -2(x + -6) + 14 Reorder the terms: -5 + 7x = 5 + -2(-6 + x) + 14 -5 + 7x = 5 + (-6 * -2 + x * -2) + 14 -5 + 7x = 5 + (12 + -2x) + 14 Reorder the terms: -5 + 7x = 5 + 12 + 14 + -2x Combine like terms: 5 + 12 = 17 -5 + 7x = 17 + 14 + -2x Combine like terms: 17 + 14 = 31 -5 + 7x = 31 + -2x Solving -5 + 7x = 31 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -5 + 7x + 2x = 31 + -2x + 2x Combine like terms: 7x + 2x = 9x -5 + 9x = 31 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 9x = 31 + 0 -5 + 9x = 31 Add '5' to each side of the equation. -5 + 5 + 9x = 31 + 5 Combine like terms: -5 + 5 = 0 0 + 9x = 31 + 5 9x = 31 + 5 Combine like terms: 31 + 5 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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