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