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Simplifying 19x + 12 = 2(9x + -5) Reorder the terms: 12 + 19x = 2(9x + -5) Reorder the terms: 12 + 19x = 2(-5 + 9x) 12 + 19x = (-5 * 2 + 9x * 2) 12 + 19x = (-10 + 18x) Solving 12 + 19x = -10 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 12 + 19x + -18x = -10 + 18x + -18x Combine like terms: 19x + -18x = 1x 12 + 1x = -10 + 18x + -18x Combine like terms: 18x + -18x = 0 12 + 1x = -10 + 0 12 + 1x = -10 Add '-12' to each side of the equation. 12 + -12 + 1x = -10 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = -10 + -12 1x = -10 + -12 Combine like terms: -10 + -12 = -22 1x = -22 Divide each side by '1'. x = -22 Simplifying x = -22
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