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Simplifying 7x + 32 = 13x + -38 Reorder the terms: 32 + 7x = 13x + -38 Reorder the terms: 32 + 7x = -38 + 13x Solving 32 + 7x = -38 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 32 + 7x + -13x = -38 + 13x + -13x Combine like terms: 7x + -13x = -6x 32 + -6x = -38 + 13x + -13x Combine like terms: 13x + -13x = 0 32 + -6x = -38 + 0 32 + -6x = -38 Add '-32' to each side of the equation. 32 + -32 + -6x = -38 + -32 Combine like terms: 32 + -32 = 0 0 + -6x = -38 + -32 -6x = -38 + -32 Combine like terms: -38 + -32 = -70 -6x = -70 Divide each side by '-6'. x = 11.66666667 Simplifying x = 11.66666667
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