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Simplifying 6(3x + -7) + -2(x + 1) + -19x = 0 Reorder the terms: 6(-7 + 3x) + -2(x + 1) + -19x = 0 (-7 * 6 + 3x * 6) + -2(x + 1) + -19x = 0 (-42 + 18x) + -2(x + 1) + -19x = 0 Reorder the terms: -42 + 18x + -2(1 + x) + -19x = 0 -42 + 18x + (1 * -2 + x * -2) + -19x = 0 -42 + 18x + (-2 + -2x) + -19x = 0 Reorder the terms: -42 + -2 + 18x + -2x + -19x = 0 Combine like terms: -42 + -2 = -44 -44 + 18x + -2x + -19x = 0 Combine like terms: 18x + -2x = 16x -44 + 16x + -19x = 0 Combine like terms: 16x + -19x = -3x -44 + -3x = 0 Solving -44 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + -3x = 0 + 44 Combine like terms: -44 + 44 = 0 0 + -3x = 0 + 44 -3x = 0 + 44 Combine like terms: 0 + 44 = 44 -3x = 44 Divide each side by '-3'. x = -14.66666667 Simplifying x = -14.66666667
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