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Simplifying 6x + 38 = 12x + -53 Reorder the terms: 38 + 6x = 12x + -53 Reorder the terms: 38 + 6x = -53 + 12x Solving 38 + 6x = -53 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 38 + 6x + -12x = -53 + 12x + -12x Combine like terms: 6x + -12x = -6x 38 + -6x = -53 + 12x + -12x Combine like terms: 12x + -12x = 0 38 + -6x = -53 + 0 38 + -6x = -53 Add '-38' to each side of the equation. 38 + -38 + -6x = -53 + -38 Combine like terms: 38 + -38 = 0 0 + -6x = -53 + -38 -6x = -53 + -38 Combine like terms: -53 + -38 = -91 -6x = -91 Divide each side by '-6'. x = 15.16666667 Simplifying x = 15.16666667
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