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Simplifying -38 + 8x = 6(3x + 7) Reorder the terms: -38 + 8x = 6(7 + 3x) -38 + 8x = (7 * 6 + 3x * 6) -38 + 8x = (42 + 18x) Solving -38 + 8x = 42 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -38 + 8x + -18x = 42 + 18x + -18x Combine like terms: 8x + -18x = -10x -38 + -10x = 42 + 18x + -18x Combine like terms: 18x + -18x = 0 -38 + -10x = 42 + 0 -38 + -10x = 42 Add '38' to each side of the equation. -38 + 38 + -10x = 42 + 38 Combine like terms: -38 + 38 = 0 0 + -10x = 42 + 38 -10x = 42 + 38 Combine like terms: 42 + 38 = 80 -10x = 80 Divide each side by '-10'. x = -8 Simplifying x = -8
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