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Simplifying -2x + 6x + 30 = 13x + 32 Reorder the terms: 30 + -2x + 6x = 13x + 32 Combine like terms: -2x + 6x = 4x 30 + 4x = 13x + 32 Reorder the terms: 30 + 4x = 32 + 13x Solving 30 + 4x = 32 + 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. 30 + 4x + -13x = 32 + 13x + -13x Combine like terms: 4x + -13x = -9x 30 + -9x = 32 + 13x + -13x Combine like terms: 13x + -13x = 0 30 + -9x = 32 + 0 30 + -9x = 32 Add '-30' to each side of the equation. 30 + -30 + -9x = 32 + -30 Combine like terms: 30 + -30 = 0 0 + -9x = 32 + -30 -9x = 32 + -30 Combine like terms: 32 + -30 = 2 -9x = 2 Divide each side by '-9'. x = -0.2222222222 Simplifying x = -0.2222222222
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