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Simplifying 6 + -1(4x + 17) = 3 + 2(x + 5) Reorder the terms: 6 + -1(17 + 4x) = 3 + 2(x + 5) 6 + (17 * -1 + 4x * -1) = 3 + 2(x + 5) 6 + (-17 + -4x) = 3 + 2(x + 5) Combine like terms: 6 + -17 = -11 -11 + -4x = 3 + 2(x + 5) Reorder the terms: -11 + -4x = 3 + 2(5 + x) -11 + -4x = 3 + (5 * 2 + x * 2) -11 + -4x = 3 + (10 + 2x) Combine like terms: 3 + 10 = 13 -11 + -4x = 13 + 2x Solving -11 + -4x = 13 + 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. -11 + -4x + -2x = 13 + 2x + -2x Combine like terms: -4x + -2x = -6x -11 + -6x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 -11 + -6x = 13 + 0 -11 + -6x = 13 Add '11' to each side of the equation. -11 + 11 + -6x = 13 + 11 Combine like terms: -11 + 11 = 0 0 + -6x = 13 + 11 -6x = 13 + 11 Combine like terms: 13 + 11 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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