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Simplifying 38 + -7x = -8(x + -4) Reorder the terms: 38 + -7x = -8(-4 + x) 38 + -7x = (-4 * -8 + x * -8) 38 + -7x = (32 + -8x) Solving 38 + -7x = 32 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 38 + -7x + 8x = 32 + -8x + 8x Combine like terms: -7x + 8x = 1x 38 + 1x = 32 + -8x + 8x Combine like terms: -8x + 8x = 0 38 + 1x = 32 + 0 38 + 1x = 32 Add '-38' to each side of the equation. 38 + -38 + 1x = 32 + -38 Combine like terms: 38 + -38 = 0 0 + 1x = 32 + -38 1x = 32 + -38 Combine like terms: 32 + -38 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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