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Simplifying 4x + 2 + 10x = 7x + 6x + 17 Reorder the terms: 2 + 4x + 10x = 7x + 6x + 17 Combine like terms: 4x + 10x = 14x 2 + 14x = 7x + 6x + 17 Reorder the terms: 2 + 14x = 17 + 7x + 6x Combine like terms: 7x + 6x = 13x 2 + 14x = 17 + 13x Solving 2 + 14x = 17 + 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. 2 + 14x + -13x = 17 + 13x + -13x Combine like terms: 14x + -13x = 1x 2 + 1x = 17 + 13x + -13x Combine like terms: 13x + -13x = 0 2 + 1x = 17 + 0 2 + 1x = 17 Add '-2' to each side of the equation. 2 + -2 + 1x = 17 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = 17 + -2 1x = 17 + -2 Combine like terms: 17 + -2 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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