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Simplifying 38 + 10x = -12(1 + -5x) 38 + 10x = (1 * -12 + -5x * -12) 38 + 10x = (-12 + 60x) Solving 38 + 10x = -12 + 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. 38 + 10x + -60x = -12 + 60x + -60x Combine like terms: 10x + -60x = -50x 38 + -50x = -12 + 60x + -60x Combine like terms: 60x + -60x = 0 38 + -50x = -12 + 0 38 + -50x = -12 Add '-38' to each side of the equation. 38 + -38 + -50x = -12 + -38 Combine like terms: 38 + -38 = 0 0 + -50x = -12 + -38 -50x = -12 + -38 Combine like terms: -12 + -38 = -50 -50x = -50 Divide each side by '-50'. x = 1 Simplifying x = 1
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