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Simplifying 7x + 12 = 2(2x + 5) + -1x Reorder the terms: 12 + 7x = 2(2x + 5) + -1x Reorder the terms: 12 + 7x = 2(5 + 2x) + -1x 12 + 7x = (5 * 2 + 2x * 2) + -1x 12 + 7x = (10 + 4x) + -1x Combine like terms: 4x + -1x = 3x 12 + 7x = 10 + 3x Solving 12 + 7x = 10 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + 7x + -3x = 10 + 3x + -3x Combine like terms: 7x + -3x = 4x 12 + 4x = 10 + 3x + -3x Combine like terms: 3x + -3x = 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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