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Simplifying 2x + 3 = 19 + -1(12 + -1x) Reorder the terms: 3 + 2x = 19 + -1(12 + -1x) 3 + 2x = 19 + (12 * -1 + -1x * -1) 3 + 2x = 19 + (-12 + 1x) Combine like terms: 19 + -12 = 7 3 + 2x = 7 + 1x Solving 3 + 2x = 7 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3 + 2x + -1x = 7 + 1x + -1x Combine like terms: 2x + -1x = 1x 3 + 1x = 7 + 1x + -1x Combine like terms: 1x + -1x = 0 3 + 1x = 7 + 0 3 + 1x = 7 Add '-3' to each side of the equation. 3 + -3 + 1x = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 7 + -3 1x = 7 + -3 Combine like terms: 7 + -3 = 4 1x = 4 Divide each side by '1'. x = 4 Simplifying x = 4
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