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Simplifying 6(3x + -6) + -2(x + 1) + -19x = 0 Reorder the terms: 6(-6 + 3x) + -2(x + 1) + -19x = 0 (-6 * 6 + 3x * 6) + -2(x + 1) + -19x = 0 (-36 + 18x) + -2(x + 1) + -19x = 0 Reorder the terms: -36 + 18x + -2(1 + x) + -19x = 0 -36 + 18x + (1 * -2 + x * -2) + -19x = 0 -36 + 18x + (-2 + -2x) + -19x = 0 Reorder the terms: -36 + -2 + 18x + -2x + -19x = 0 Combine like terms: -36 + -2 = -38 -38 + 18x + -2x + -19x = 0 Combine like terms: 18x + -2x = 16x -38 + 16x + -19x = 0 Combine like terms: 16x + -19x = -3x -38 + -3x = 0 Solving -38 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + -3x = 0 + 38 Combine like terms: -38 + 38 = 0 0 + -3x = 0 + 38 -3x = 0 + 38 Combine like terms: 0 + 38 = 38 -3x = 38 Divide each side by '-3'. x = -12.66666667 Simplifying x = -12.66666667
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