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Simplifying 4x + 10 + 2x = 12 + -3x + 6 + 5x Reorder the terms: 10 + 4x + 2x = 12 + -3x + 6 + 5x Combine like terms: 4x + 2x = 6x 10 + 6x = 12 + -3x + 6 + 5x Reorder the terms: 10 + 6x = 12 + 6 + -3x + 5x Combine like terms: 12 + 6 = 18 10 + 6x = 18 + -3x + 5x Combine like terms: -3x + 5x = 2x 10 + 6x = 18 + 2x Solving 10 + 6x = 18 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 10 + 6x + -2x = 18 + 2x + -2x Combine like terms: 6x + -2x = 4x 10 + 4x = 18 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 4x = 18 + 0 10 + 4x = 18 Add '-10' to each side of the equation. 10 + -10 + 4x = 18 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = 18 + -10 4x = 18 + -10 Combine like terms: 18 + -10 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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