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Simplifying 10x + 2 + 4x + 7 = 13x + 3 Reorder the terms: 2 + 7 + 10x + 4x = 13x + 3 Combine like terms: 2 + 7 = 9 9 + 10x + 4x = 13x + 3 Combine like terms: 10x + 4x = 14x 9 + 14x = 13x + 3 Reorder the terms: 9 + 14x = 3 + 13x Solving 9 + 14x = 3 + 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. 9 + 14x + -13x = 3 + 13x + -13x Combine like terms: 14x + -13x = 1x 9 + 1x = 3 + 13x + -13x Combine like terms: 13x + -13x = 0 9 + 1x = 3 + 0 9 + 1x = 3 Add '-9' to each side of the equation. 9 + -9 + 1x = 3 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = 3 + -9 1x = 3 + -9 Combine like terms: 3 + -9 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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