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Simplifying 12(2x + -1) + -1(x + -8) = 19 Reorder the terms: 12(-1 + 2x) + -1(x + -8) = 19 (-1 * 12 + 2x * 12) + -1(x + -8) = 19 (-12 + 24x) + -1(x + -8) = 19 Reorder the terms: -12 + 24x + -1(-8 + x) = 19 -12 + 24x + (-8 * -1 + x * -1) = 19 -12 + 24x + (8 + -1x) = 19 Reorder the terms: -12 + 8 + 24x + -1x = 19 Combine like terms: -12 + 8 = -4 -4 + 24x + -1x = 19 Combine like terms: 24x + -1x = 23x -4 + 23x = 19 Solving -4 + 23x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 23x = 19 + 4 Combine like terms: -4 + 4 = 0 0 + 23x = 19 + 4 23x = 19 + 4 Combine like terms: 19 + 4 = 23 23x = 23 Divide each side by '23'. x = 1 Simplifying x = 1
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