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Simplifying 5 + -1(4x + 6) = 3x + (7 + -4x) Reorder the terms: 5 + -1(6 + 4x) = 3x + (7 + -4x) 5 + (6 * -1 + 4x * -1) = 3x + (7 + -4x) 5 + (-6 + -4x) = 3x + (7 + -4x) Combine like terms: 5 + -6 = -1 -1 + -4x = 3x + (7 + -4x) Remove parenthesis around (7 + -4x) -1 + -4x = 3x + 7 + -4x Reorder the terms: -1 + -4x = 7 + 3x + -4x Combine like terms: 3x + -4x = -1x -1 + -4x = 7 + -1x Solving -1 + -4x = 7 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -1 + -4x + x = 7 + -1x + x Combine like terms: -4x + x = -3x -1 + -3x = 7 + -1x + x Combine like terms: -1x + x = 0 -1 + -3x = 7 + 0 -1 + -3x = 7 Add '1' to each side of the equation. -1 + 1 + -3x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 7 + 1 -3x = 7 + 1 Combine like terms: 7 + 1 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667
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