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Simplifying 38 + -8x = 6(8x + -3) Reorder the terms: 38 + -8x = 6(-3 + 8x) 38 + -8x = (-3 * 6 + 8x * 6) 38 + -8x = (-18 + 48x) Solving 38 + -8x = -18 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 38 + -8x + -48x = -18 + 48x + -48x Combine like terms: -8x + -48x = -56x 38 + -56x = -18 + 48x + -48x Combine like terms: 48x + -48x = 0 38 + -56x = -18 + 0 38 + -56x = -18 Add '-38' to each side of the equation. 38 + -38 + -56x = -18 + -38 Combine like terms: 38 + -38 = 0 0 + -56x = -18 + -38 -56x = -18 + -38 Combine like terms: -18 + -38 = -56 -56x = -56 Divide each side by '-56'. x = 1 Simplifying x = 1
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