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Simplifying 6(3x + -5) + -3(x + 1) + -19x = 0 Reorder the terms: 6(-5 + 3x) + -3(x + 1) + -19x = 0 (-5 * 6 + 3x * 6) + -3(x + 1) + -19x = 0 (-30 + 18x) + -3(x + 1) + -19x = 0 Reorder the terms: -30 + 18x + -3(1 + x) + -19x = 0 -30 + 18x + (1 * -3 + x * -3) + -19x = 0 -30 + 18x + (-3 + -3x) + -19x = 0 Reorder the terms: -30 + -3 + 18x + -3x + -19x = 0 Combine like terms: -30 + -3 = -33 -33 + 18x + -3x + -19x = 0 Combine like terms: 18x + -3x = 15x -33 + 15x + -19x = 0 Combine like terms: 15x + -19x = -4x -33 + -4x = 0 Solving -33 + -4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + -4x = 0 + 33 Combine like terms: -33 + 33 = 0 0 + -4x = 0 + 33 -4x = 0 + 33 Combine like terms: 0 + 33 = 33 -4x = 33 Divide each side by '-4'. x = -8.25 Simplifying x = -8.25
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