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Simplifying 19 + -1(x + 7) = 8x + -6 Reorder the terms: 19 + -1(7 + x) = 8x + -6 19 + (7 * -1 + x * -1) = 8x + -6 19 + (-7 + -1x) = 8x + -6 Combine like terms: 19 + -7 = 12 12 + -1x = 8x + -6 Reorder the terms: 12 + -1x = -6 + 8x Solving 12 + -1x = -6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 12 + -1x + -8x = -6 + 8x + -8x Combine like terms: -1x + -8x = -9x 12 + -9x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 12 + -9x = -6 + 0 12 + -9x = -6 Add '-12' to each side of the equation. 12 + -12 + -9x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = -6 + -12 -9x = -6 + -12 Combine like terms: -6 + -12 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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