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Simplifying 5 + -7x = 2(3x + 6) Reorder the terms: 5 + -7x = 2(6 + 3x) 5 + -7x = (6 * 2 + 3x * 2) 5 + -7x = (12 + 6x) Solving 5 + -7x = 12 + 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 + -7x + -6x = 12 + 6x + -6x Combine like terms: -7x + -6x = -13x 5 + -13x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -13x = 12 + 0 5 + -13x = 12 Add '-5' to each side of the equation. 5 + -5 + -13x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -13x = 12 + -5 -13x = 12 + -5 Combine like terms: 12 + -5 = 7 -13x = 7 Divide each side by '-13'. x = -0.5384615385 Simplifying x = -0.5384615385
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