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Simplifying (4x + -7) + -1(12 + x) = 0 Reorder the terms: (-7 + 4x) + -1(12 + x) = 0 Remove parenthesis around (-7 + 4x) -7 + 4x + -1(12 + x) = 0 -7 + 4x + (12 * -1 + x * -1) = 0 -7 + 4x + (-12 + -1x) = 0 Reorder the terms: -7 + -12 + 4x + -1x = 0 Combine like terms: -7 + -12 = -19 -19 + 4x + -1x = 0 Combine like terms: 4x + -1x = 3x -19 + 3x = 0 Solving -19 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 3x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 3x = 0 + 19 3x = 0 + 19 Combine like terms: 0 + 19 = 19 3x = 19 Divide each side by '3'. x = 6.333333333 Simplifying x = 6.333333333
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