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Simplifying 2x + -3(4x + -1) = 17 + 3x Reorder the terms: 2x + -3(-1 + 4x) = 17 + 3x 2x + (-1 * -3 + 4x * -3) = 17 + 3x 2x + (3 + -12x) = 17 + 3x Reorder the terms: 3 + 2x + -12x = 17 + 3x Combine like terms: 2x + -12x = -10x 3 + -10x = 17 + 3x Solving 3 + -10x = 17 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 3 + -10x + -3x = 17 + 3x + -3x Combine like terms: -10x + -3x = -13x 3 + -13x = 17 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + -13x = 17 + 0 3 + -13x = 17 Add '-3' to each side of the equation. 3 + -3 + -13x = 17 + -3 Combine like terms: 3 + -3 = 0 0 + -13x = 17 + -3 -13x = 17 + -3 Combine like terms: 17 + -3 = 14 -13x = 14 Divide each side by '-13'. x = -1.076923077 Simplifying x = -1.076923077
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