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Simplifying 6(2x + -7) + -3(x + 1) + -19x = 0 Reorder the terms: 6(-7 + 2x) + -3(x + 1) + -19x = 0 (-7 * 6 + 2x * 6) + -3(x + 1) + -19x = 0 (-42 + 12x) + -3(x + 1) + -19x = 0 Reorder the terms: -42 + 12x + -3(1 + x) + -19x = 0 -42 + 12x + (1 * -3 + x * -3) + -19x = 0 -42 + 12x + (-3 + -3x) + -19x = 0 Reorder the terms: -42 + -3 + 12x + -3x + -19x = 0 Combine like terms: -42 + -3 = -45 -45 + 12x + -3x + -19x = 0 Combine like terms: 12x + -3x = 9x -45 + 9x + -19x = 0 Combine like terms: 9x + -19x = -10x -45 + -10x = 0 Solving -45 + -10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + -10x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -10x = 0 + 45 -10x = 0 + 45 Combine like terms: 0 + 45 = 45 -10x = 45 Divide each side by '-10'. x = -4.5 Simplifying x = -4.5
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