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Simplifying 6(3x + -7) + -3(x + 2) + -19x = 0 Reorder the terms: 6(-7 + 3x) + -3(x + 2) + -19x = 0 (-7 * 6 + 3x * 6) + -3(x + 2) + -19x = 0 (-42 + 18x) + -3(x + 2) + -19x = 0 Reorder the terms: -42 + 18x + -3(2 + x) + -19x = 0 -42 + 18x + (2 * -3 + x * -3) + -19x = 0 -42 + 18x + (-6 + -3x) + -19x = 0 Reorder the terms: -42 + -6 + 18x + -3x + -19x = 0 Combine like terms: -42 + -6 = -48 -48 + 18x + -3x + -19x = 0 Combine like terms: 18x + -3x = 15x -48 + 15x + -19x = 0 Combine like terms: 15x + -19x = -4x -48 + -4x = 0 Solving -48 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -4x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -4x = 0 + 48 -4x = 0 + 48 Combine like terms: 0 + 48 = 48 -4x = 48 Divide each side by '-4'. x = -12 Simplifying x = -12
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