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Simplifying 5 + -1x = 12 + 2(3x + 7) Reorder the terms: 5 + -1x = 12 + 2(7 + 3x) 5 + -1x = 12 + (7 * 2 + 3x * 2) 5 + -1x = 12 + (14 + 6x) Combine like terms: 12 + 14 = 26 5 + -1x = 26 + 6x Solving 5 + -1x = 26 + 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. 5 + -1x + -6x = 26 + 6x + -6x Combine like terms: -1x + -6x = -7x 5 + -7x = 26 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -7x = 26 + 0 5 + -7x = 26 Add '-5' to each side of the equation. 5 + -5 + -7x = 26 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = 26 + -5 -7x = 26 + -5 Combine like terms: 26 + -5 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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