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Simplifying 17 + -1(4x + -2) = 2(x + 3) Reorder the terms: 17 + -1(-2 + 4x) = 2(x + 3) 17 + (-2 * -1 + 4x * -1) = 2(x + 3) 17 + (2 + -4x) = 2(x + 3) Combine like terms: 17 + 2 = 19 19 + -4x = 2(x + 3) Reorder the terms: 19 + -4x = 2(3 + x) 19 + -4x = (3 * 2 + x * 2) 19 + -4x = (6 + 2x) Solving 19 + -4x = 6 + 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. 19 + -4x + -2x = 6 + 2x + -2x Combine like terms: -4x + -2x = -6x 19 + -6x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 19 + -6x = 6 + 0 19 + -6x = 6 Add '-19' to each side of the equation. 19 + -19 + -6x = 6 + -19 Combine like terms: 19 + -19 = 0 0 + -6x = 6 + -19 -6x = 6 + -19 Combine like terms: 6 + -19 = -13 -6x = -13 Divide each side by '-6'. x = 2.166666667 Simplifying x = 2.166666667
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