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Simplifying 2 + -1(4x + -17) = 4 + -3(2x + 5) Reorder the terms: 2 + -1(-17 + 4x) = 4 + -3(2x + 5) 2 + (-17 * -1 + 4x * -1) = 4 + -3(2x + 5) 2 + (17 + -4x) = 4 + -3(2x + 5) Combine like terms: 2 + 17 = 19 19 + -4x = 4 + -3(2x + 5) Reorder the terms: 19 + -4x = 4 + -3(5 + 2x) 19 + -4x = 4 + (5 * -3 + 2x * -3) 19 + -4x = 4 + (-15 + -6x) Combine like terms: 4 + -15 = -11 19 + -4x = -11 + -6x Solving 19 + -4x = -11 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 19 + -4x + 6x = -11 + -6x + 6x Combine like terms: -4x + 6x = 2x 19 + 2x = -11 + -6x + 6x Combine like terms: -6x + 6x = 0 19 + 2x = -11 + 0 19 + 2x = -11 Add '-19' to each side of the equation. 19 + -19 + 2x = -11 + -19 Combine like terms: 19 + -19 = 0 0 + 2x = -11 + -19 2x = -11 + -19 Combine like terms: -11 + -19 = -30 2x = -30 Divide each side by '2'. x = -15 Simplifying x = -15
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