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Simplifying 4x + 6x + 12 = 2x + 17 + 3 Reorder the terms: 12 + 4x + 6x = 2x + 17 + 3 Combine like terms: 4x + 6x = 10x 12 + 10x = 2x + 17 + 3 Reorder the terms: 12 + 10x = 17 + 3 + 2x Combine like terms: 17 + 3 = 20 12 + 10x = 20 + 2x Solving 12 + 10x = 20 + 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. 12 + 10x + -2x = 20 + 2x + -2x Combine like terms: 10x + -2x = 8x 12 + 8x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 8x = 20 + 0 12 + 8x = 20 Add '-12' to each side of the equation. 12 + -12 + 8x = 20 + -12 Combine like terms: 12 + -12 = 0 0 + 8x = 20 + -12 8x = 20 + -12 Combine like terms: 20 + -12 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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