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Simplifying 38 + -2x = 4(1 + 8x) 38 + -2x = (1 * 4 + 8x * 4) 38 + -2x = (4 + 32x) Solving 38 + -2x = 4 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 38 + -2x + -32x = 4 + 32x + -32x Combine like terms: -2x + -32x = -34x 38 + -34x = 4 + 32x + -32x Combine like terms: 32x + -32x = 0 38 + -34x = 4 + 0 38 + -34x = 4 Add '-38' to each side of the equation. 38 + -38 + -34x = 4 + -38 Combine like terms: 38 + -38 = 0 0 + -34x = 4 + -38 -34x = 4 + -38 Combine like terms: 4 + -38 = -34 -34x = -34 Divide each side by '-34'. x = 1 Simplifying x = 1
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