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Simplifying 7 + -5x = 19 + -1(6x + 7) Reorder the terms: 7 + -5x = 19 + -1(7 + 6x) 7 + -5x = 19 + (7 * -1 + 6x * -1) 7 + -5x = 19 + (-7 + -6x) Combine like terms: 19 + -7 = 12 7 + -5x = 12 + -6x Solving 7 + -5x = 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. 7 + -5x + 6x = 12 + -6x + 6x Combine like terms: -5x + 6x = 1x 7 + 1x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 7 + 1x = 12 + 0 7 + 1x = 12 Add '-7' to each side of the equation. 7 + -7 + 1x = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 12 + -7 1x = 12 + -7 Combine like terms: 12 + -7 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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