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Simplifying 3(x + -4) + 2(3x + 6) + 1 = 19 Reorder the terms: 3(-4 + x) + 2(3x + 6) + 1 = 19 (-4 * 3 + x * 3) + 2(3x + 6) + 1 = 19 (-12 + 3x) + 2(3x + 6) + 1 = 19 Reorder the terms: -12 + 3x + 2(6 + 3x) + 1 = 19 -12 + 3x + (6 * 2 + 3x * 2) + 1 = 19 -12 + 3x + (12 + 6x) + 1 = 19 Reorder the terms: -12 + 12 + 1 + 3x + 6x = 19 Combine like terms: -12 + 12 = 0 0 + 1 + 3x + 6x = 19 1 + 3x + 6x = 19 Combine like terms: 3x + 6x = 9x 1 + 9x = 19 Solving 1 + 9x = 19 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 9x = 19 + -1 Combine like terms: 1 + -1 = 0 0 + 9x = 19 + -1 9x = 19 + -1 Combine like terms: 19 + -1 = 18 9x = 18 Divide each side by '9'. x = 2 Simplifying x = 2
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