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Simplifying 7x + 4 = 5 + -1(6x + -7) Reorder the terms: 4 + 7x = 5 + -1(6x + -7) Reorder the terms: 4 + 7x = 5 + -1(-7 + 6x) 4 + 7x = 5 + (-7 * -1 + 6x * -1) 4 + 7x = 5 + (7 + -6x) Combine like terms: 5 + 7 = 12 4 + 7x = 12 + -6x Solving 4 + 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. 4 + 7x + 6x = 12 + -6x + 6x Combine like terms: 7x + 6x = 13x 4 + 13x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 4 + 13x = 12 + 0 4 + 13x = 12 Add '-4' to each side of the equation. 4 + -4 + 13x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 13x = 12 + -4 13x = 12 + -4 Combine like terms: 12 + -4 = 8 13x = 8 Divide each side by '13'. x = 0.6153846154 Simplifying x = 0.6153846154
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