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Simplifying 4x + -17 + 13x = -17 + -4(1 + -1x) Reorder the terms: -17 + 4x + 13x = -17 + -4(1 + -1x) Combine like terms: 4x + 13x = 17x -17 + 17x = -17 + -4(1 + -1x) -17 + 17x = -17 + (1 * -4 + -1x * -4) -17 + 17x = -17 + (-4 + 4x) Combine like terms: -17 + -4 = -21 -17 + 17x = -21 + 4x Solving -17 + 17x = -21 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -17 + 17x + -4x = -21 + 4x + -4x Combine like terms: 17x + -4x = 13x -17 + 13x = -21 + 4x + -4x Combine like terms: 4x + -4x = 0 -17 + 13x = -21 + 0 -17 + 13x = -21 Add '17' to each side of the equation. -17 + 17 + 13x = -21 + 17 Combine like terms: -17 + 17 = 0 0 + 13x = -21 + 17 13x = -21 + 17 Combine like terms: -21 + 17 = -4 13x = -4 Divide each side by '13'. x = -0.3076923077 Simplifying x = -0.3076923077
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