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Simplifying 10x + 3 + 4x + 9 = 13x + 3 Reorder the terms: 3 + 9 + 10x + 4x = 13x + 3 Combine like terms: 3 + 9 = 12 12 + 10x + 4x = 13x + 3 Combine like terms: 10x + 4x = 14x 12 + 14x = 13x + 3 Reorder the terms: 12 + 14x = 3 + 13x Solving 12 + 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. 12 + 14x + -13x = 3 + 13x + -13x Combine like terms: 14x + -13x = 1x 12 + 1x = 3 + 13x + -13x Combine like terms: 13x + -13x = 0 12 + 1x = 3 + 0 12 + 1x = 3 Add '-12' to each side of the equation. 12 + -12 + 1x = 3 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 3 + -12 1x = 3 + -12 Combine like terms: 3 + -12 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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