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Simplifying 10x + 4 + 4x + -3 = 12x + 16 Reorder the terms: 4 + -3 + 10x + 4x = 12x + 16 Combine like terms: 4 + -3 = 1 1 + 10x + 4x = 12x + 16 Combine like terms: 10x + 4x = 14x 1 + 14x = 12x + 16 Reorder the terms: 1 + 14x = 16 + 12x Solving 1 + 14x = 16 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 1 + 14x + -12x = 16 + 12x + -12x Combine like terms: 14x + -12x = 2x 1 + 2x = 16 + 12x + -12x Combine like terms: 12x + -12x = 0 1 + 2x = 16 + 0 1 + 2x = 16 Add '-1' to each side of the equation. 1 + -1 + 2x = 16 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 16 + -1 2x = 16 + -1 Combine like terms: 16 + -1 = 15 2x = 15 Divide each side by '2'. x = 7.5 Simplifying x = 7.5
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