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Simplifying 19 + -1(12 + -6x) = 14 + 7x 19 + (12 * -1 + -6x * -1) = 14 + 7x 19 + (-12 + 6x) = 14 + 7x Combine like terms: 19 + -12 = 7 7 + 6x = 14 + 7x Solving 7 + 6x = 14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 7 + 6x + -7x = 14 + 7x + -7x Combine like terms: 6x + -7x = -1x 7 + -1x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 7 + -1x = 14 + 0 7 + -1x = 14 Add '-7' to each side of the equation. 7 + -7 + -1x = 14 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 14 + -7 -1x = 14 + -7 Combine like terms: 14 + -7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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