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Simplifying -38 + -1x = 4(6 + -8x) -38 + -1x = (6 * 4 + -8x * 4) -38 + -1x = (24 + -32x) Solving -38 + -1x = 24 + -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 + -1x + 32x = 24 + -32x + 32x Combine like terms: -1x + 32x = 31x -38 + 31x = 24 + -32x + 32x Combine like terms: -32x + 32x = 0 -38 + 31x = 24 + 0 -38 + 31x = 24 Add '38' to each side of the equation. -38 + 38 + 31x = 24 + 38 Combine like terms: -38 + 38 = 0 0 + 31x = 24 + 38 31x = 24 + 38 Combine like terms: 24 + 38 = 62 31x = 62 Divide each side by '31'. x = 2 Simplifying x = 2
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