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Simplifying 10x + 12 = 2(3x + 5) Reorder the terms: 12 + 10x = 2(3x + 5) Reorder the terms: 12 + 10x = 2(5 + 3x) 12 + 10x = (5 * 2 + 3x * 2) 12 + 10x = (10 + 6x) Solving 12 + 10x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + 10x + -6x = 10 + 6x + -6x Combine like terms: 10x + -6x = 4x 12 + 4x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + 4x = 10 + 0 12 + 4x = 10 Add '-12' to each side of the equation. 12 + -12 + 4x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 10 + -12 4x = 10 + -12 Combine like terms: 10 + -12 = -2 4x = -2 Divide each side by '4'. x = -0.5 Simplifying x = -0.5
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