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Simplifying (-8x + 6) + -1(7x + 12) = 0 Reorder the terms: (6 + -8x) + -1(7x + 12) = 0 Remove parenthesis around (6 + -8x) 6 + -8x + -1(7x + 12) = 0 Reorder the terms: 6 + -8x + -1(12 + 7x) = 0 6 + -8x + (12 * -1 + 7x * -1) = 0 6 + -8x + (-12 + -7x) = 0 Reorder the terms: 6 + -12 + -8x + -7x = 0 Combine like terms: 6 + -12 = -6 -6 + -8x + -7x = 0 Combine like terms: -8x + -7x = -15x -6 + -15x = 0 Solving -6 + -15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -15x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -15x = 0 + 6 -15x = 0 + 6 Combine like terms: 0 + 6 = 6 -15x = 6 Divide each side by '-15'. x = -0.4 Simplifying x = -0.4
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