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Simplifying (4x + 2) + -1(12x + 18) + 2(5x + -3) = 17 Reorder the terms: (2 + 4x) + -1(12x + 18) + 2(5x + -3) = 17 Remove parenthesis around (2 + 4x) 2 + 4x + -1(12x + 18) + 2(5x + -3) = 17 Reorder the terms: 2 + 4x + -1(18 + 12x) + 2(5x + -3) = 17 2 + 4x + (18 * -1 + 12x * -1) + 2(5x + -3) = 17 2 + 4x + (-18 + -12x) + 2(5x + -3) = 17 Reorder the terms: 2 + 4x + -18 + -12x + 2(-3 + 5x) = 17 2 + 4x + -18 + -12x + (-3 * 2 + 5x * 2) = 17 2 + 4x + -18 + -12x + (-6 + 10x) = 17 Reorder the terms: 2 + -18 + -6 + 4x + -12x + 10x = 17 Combine like terms: 2 + -18 = -16 -16 + -6 + 4x + -12x + 10x = 17 Combine like terms: -16 + -6 = -22 -22 + 4x + -12x + 10x = 17 Combine like terms: 4x + -12x = -8x -22 + -8x + 10x = 17 Combine like terms: -8x + 10x = 2x -22 + 2x = 17 Solving -22 + 2x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 2x = 17 + 22 Combine like terms: -22 + 22 = 0 0 + 2x = 17 + 22 2x = 17 + 22 Combine like terms: 17 + 22 = 39 2x = 39 Divide each side by '2'. x = 19.5 Simplifying x = 19.5
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