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Simplifying 6(3x + -4) + -3(x + 4) + -19x = 0 Reorder the terms: 6(-4 + 3x) + -3(x + 4) + -19x = 0 (-4 * 6 + 3x * 6) + -3(x + 4) + -19x = 0 (-24 + 18x) + -3(x + 4) + -19x = 0 Reorder the terms: -24 + 18x + -3(4 + x) + -19x = 0 -24 + 18x + (4 * -3 + x * -3) + -19x = 0 -24 + 18x + (-12 + -3x) + -19x = 0 Reorder the terms: -24 + -12 + 18x + -3x + -19x = 0 Combine like terms: -24 + -12 = -36 -36 + 18x + -3x + -19x = 0 Combine like terms: 18x + -3x = 15x -36 + 15x + -19x = 0 Combine like terms: 15x + -19x = -4x -36 + -4x = 0 Solving -36 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -4x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -4x = 0 + 36 -4x = 0 + 36 Combine like terms: 0 + 36 = 36 -4x = 36 Divide each side by '-4'. x = -9 Simplifying x = -9
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