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Simplifying 8x + 3 = 12 + -1(6x + -7) Reorder the terms: 3 + 8x = 12 + -1(6x + -7) Reorder the terms: 3 + 8x = 12 + -1(-7 + 6x) 3 + 8x = 12 + (-7 * -1 + 6x * -1) 3 + 8x = 12 + (7 + -6x) Combine like terms: 12 + 7 = 19 3 + 8x = 19 + -6x Solving 3 + 8x = 19 + -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. 3 + 8x + 6x = 19 + -6x + 6x Combine like terms: 8x + 6x = 14x 3 + 14x = 19 + -6x + 6x Combine like terms: -6x + 6x = 0 3 + 14x = 19 + 0 3 + 14x = 19 Add '-3' to each side of the equation. 3 + -3 + 14x = 19 + -3 Combine like terms: 3 + -3 = 0 0 + 14x = 19 + -3 14x = 19 + -3 Combine like terms: 19 + -3 = 16 14x = 16 Divide each side by '14'. x = 1.142857143 Simplifying x = 1.142857143
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