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Simplifying 38 + -1x = -3x + 2(1 + -8x) 38 + -1x = -3x + (1 * 2 + -8x * 2) 38 + -1x = -3x + (2 + -16x) Reorder the terms: 38 + -1x = 2 + -3x + -16x Combine like terms: -3x + -16x = -19x 38 + -1x = 2 + -19x Solving 38 + -1x = 2 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. 38 + -1x + 19x = 2 + -19x + 19x Combine like terms: -1x + 19x = 18x 38 + 18x = 2 + -19x + 19x Combine like terms: -19x + 19x = 0 38 + 18x = 2 + 0 38 + 18x = 2 Add '-38' to each side of the equation. 38 + -38 + 18x = 2 + -38 Combine like terms: 38 + -38 = 0 0 + 18x = 2 + -38 18x = 2 + -38 Combine like terms: 2 + -38 = -36 18x = -36 Divide each side by '18'. x = -2 Simplifying x = -2
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