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Simplifying 10x + 4 + 4x + 7 = 13x + 3 Reorder the terms: 4 + 7 + 10x + 4x = 13x + 3 Combine like terms: 4 + 7 = 11 11 + 10x + 4x = 13x + 3 Combine like terms: 10x + 4x = 14x 11 + 14x = 13x + 3 Reorder the terms: 11 + 14x = 3 + 13x Solving 11 + 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. 11 + 14x + -13x = 3 + 13x + -13x Combine like terms: 14x + -13x = 1x 11 + 1x = 3 + 13x + -13x Combine like terms: 13x + -13x = 0 11 + 1x = 3 + 0 11 + 1x = 3 Add '-11' to each side of the equation. 11 + -11 + 1x = 3 + -11 Combine like terms: 11 + -11 = 0 0 + 1x = 3 + -11 1x = 3 + -11 Combine like terms: 3 + -11 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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