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Simplifying 38 + -5x = 6(4x + 1) + 6 Reorder the terms: 38 + -5x = 6(1 + 4x) + 6 38 + -5x = (1 * 6 + 4x * 6) + 6 38 + -5x = (6 + 24x) + 6 Reorder the terms: 38 + -5x = 6 + 6 + 24x Combine like terms: 6 + 6 = 12 38 + -5x = 12 + 24x Solving 38 + -5x = 12 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 38 + -5x + -24x = 12 + 24x + -24x Combine like terms: -5x + -24x = -29x 38 + -29x = 12 + 24x + -24x Combine like terms: 24x + -24x = 0 38 + -29x = 12 + 0 38 + -29x = 12 Add '-38' to each side of the equation. 38 + -38 + -29x = 12 + -38 Combine like terms: 38 + -38 = 0 0 + -29x = 12 + -38 -29x = 12 + -38 Combine like terms: 12 + -38 = -26 -29x = -26 Divide each side by '-29'. x = 0.8965517241 Simplifying x = 0.8965517241
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