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Simplifying 7(x + -1) + -6 = -3(-6x + 3) + -5x Reorder the terms: 7(-1 + x) + -6 = -3(-6x + 3) + -5x (-1 * 7 + x * 7) + -6 = -3(-6x + 3) + -5x (-7 + 7x) + -6 = -3(-6x + 3) + -5x Reorder the terms: -7 + -6 + 7x = -3(-6x + 3) + -5x Combine like terms: -7 + -6 = -13 -13 + 7x = -3(-6x + 3) + -5x Reorder the terms: -13 + 7x = -3(3 + -6x) + -5x -13 + 7x = (3 * -3 + -6x * -3) + -5x -13 + 7x = (-9 + 18x) + -5x Combine like terms: 18x + -5x = 13x -13 + 7x = -9 + 13x Solving -13 + 7x = -9 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -13 + 7x + -13x = -9 + 13x + -13x Combine like terms: 7x + -13x = -6x -13 + -6x = -9 + 13x + -13x Combine like terms: 13x + -13x = 0 -13 + -6x = -9 + 0 -13 + -6x = -9 Add '13' to each side of the equation. -13 + 13 + -6x = -9 + 13 Combine like terms: -13 + 13 = 0 0 + -6x = -9 + 13 -6x = -9 + 13 Combine like terms: -9 + 13 = 4 -6x = 4 Divide each side by '-6'. x = -0.6666666667 Simplifying x = -0.6666666667
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