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Simplifying 7x + -3(5x + 2) + -6(7 + 2x) = 0 Reorder the terms: 7x + -3(2 + 5x) + -6(7 + 2x) = 0 7x + (2 * -3 + 5x * -3) + -6(7 + 2x) = 0 7x + (-6 + -15x) + -6(7 + 2x) = 0 7x + -6 + -15x + (7 * -6 + 2x * -6) = 0 7x + -6 + -15x + (-42 + -12x) = 0 Reorder the terms: -6 + -42 + 7x + -15x + -12x = 0 Combine like terms: -6 + -42 = -48 -48 + 7x + -15x + -12x = 0 Combine like terms: 7x + -15x = -8x -48 + -8x + -12x = 0 Combine like terms: -8x + -12x = -20x -48 + -20x = 0 Solving -48 + -20x = 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 + -20x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -20x = 0 + 48 -20x = 0 + 48 Combine like terms: 0 + 48 = 48 -20x = 48 Divide each side by '-20'. x = -2.4 Simplifying x = -2.4
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