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Simplifying 3x + 22 + -2x + 10 = 5x + 2 + 11x Reorder the terms: 22 + 10 + 3x + -2x = 5x + 2 + 11x Combine like terms: 22 + 10 = 32 32 + 3x + -2x = 5x + 2 + 11x Combine like terms: 3x + -2x = 1x 32 + 1x = 5x + 2 + 11x Reorder the terms: 32 + 1x = 2 + 5x + 11x Combine like terms: 5x + 11x = 16x 32 + 1x = 2 + 16x Solving 32 + 1x = 2 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 32 + 1x + -16x = 2 + 16x + -16x Combine like terms: 1x + -16x = -15x 32 + -15x = 2 + 16x + -16x Combine like terms: 16x + -16x = 0 32 + -15x = 2 + 0 32 + -15x = 2 Add '-32' to each side of the equation. 32 + -32 + -15x = 2 + -32 Combine like terms: 32 + -32 = 0 0 + -15x = 2 + -32 -15x = 2 + -32 Combine like terms: 2 + -32 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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