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Simplifying 7(x + -2) + -5 = -3(-7x + 7) + -8x Reorder the terms: 7(-2 + x) + -5 = -3(-7x + 7) + -8x (-2 * 7 + x * 7) + -5 = -3(-7x + 7) + -8x (-14 + 7x) + -5 = -3(-7x + 7) + -8x Reorder the terms: -14 + -5 + 7x = -3(-7x + 7) + -8x Combine like terms: -14 + -5 = -19 -19 + 7x = -3(-7x + 7) + -8x Reorder the terms: -19 + 7x = -3(7 + -7x) + -8x -19 + 7x = (7 * -3 + -7x * -3) + -8x -19 + 7x = (-21 + 21x) + -8x Combine like terms: 21x + -8x = 13x -19 + 7x = -21 + 13x Solving -19 + 7x = -21 + 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. -19 + 7x + -13x = -21 + 13x + -13x Combine like terms: 7x + -13x = -6x -19 + -6x = -21 + 13x + -13x Combine like terms: 13x + -13x = 0 -19 + -6x = -21 + 0 -19 + -6x = -21 Add '19' to each side of the equation. -19 + 19 + -6x = -21 + 19 Combine like terms: -19 + 19 = 0 0 + -6x = -21 + 19 -6x = -21 + 19 Combine like terms: -21 + 19 = -2 -6x = -2 Divide each side by '-6'. x = 0.3333333333 Simplifying x = 0.3333333333
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