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Simplifying -4x + 6 + -7(x + -1) = (3x + -5) + -7 + 7 Reorder the terms: -4x + 6 + -7(-1 + x) = (3x + -5) + -7 + 7 -4x + 6 + (-1 * -7 + x * -7) = (3x + -5) + -7 + 7 -4x + 6 + (7 + -7x) = (3x + -5) + -7 + 7 Reorder the terms: 6 + 7 + -4x + -7x = (3x + -5) + -7 + 7 Combine like terms: 6 + 7 = 13 13 + -4x + -7x = (3x + -5) + -7 + 7 Combine like terms: -4x + -7x = -11x 13 + -11x = (3x + -5) + -7 + 7 Reorder the terms: 13 + -11x = (-5 + 3x) + -7 + 7 Remove parenthesis around (-5 + 3x) 13 + -11x = -5 + 3x + -7 + 7 Reorder the terms: 13 + -11x = -5 + -7 + 7 + 3x Combine like terms: -5 + -7 = -12 13 + -11x = -12 + 7 + 3x Combine like terms: -12 + 7 = -5 13 + -11x = -5 + 3x Solving 13 + -11x = -5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 13 + -11x + -3x = -5 + 3x + -3x Combine like terms: -11x + -3x = -14x 13 + -14x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 13 + -14x = -5 + 0 13 + -14x = -5 Add '-13' to each side of the equation. 13 + -13 + -14x = -5 + -13 Combine like terms: 13 + -13 = 0 0 + -14x = -5 + -13 -14x = -5 + -13 Combine like terms: -5 + -13 = -18 -14x = -18 Divide each side by '-14'. x = 1.285714286 Simplifying x = 1.285714286
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