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Simplifying -6(-3x + 3) + -5x = 3(x + -7) + -1 Reorder the terms: -6(3 + -3x) + -5x = 3(x + -7) + -1 (3 * -6 + -3x * -6) + -5x = 3(x + -7) + -1 (-18 + 18x) + -5x = 3(x + -7) + -1 Combine like terms: 18x + -5x = 13x -18 + 13x = 3(x + -7) + -1 Reorder the terms: -18 + 13x = 3(-7 + x) + -1 -18 + 13x = (-7 * 3 + x * 3) + -1 -18 + 13x = (-21 + 3x) + -1 Reorder the terms: -18 + 13x = -21 + -1 + 3x Combine like terms: -21 + -1 = -22 -18 + 13x = -22 + 3x Solving -18 + 13x = -22 + 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. -18 + 13x + -3x = -22 + 3x + -3x Combine like terms: 13x + -3x = 10x -18 + 10x = -22 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + 10x = -22 + 0 -18 + 10x = -22 Add '18' to each side of the equation. -18 + 18 + 10x = -22 + 18 Combine like terms: -18 + 18 = 0 0 + 10x = -22 + 18 10x = -22 + 18 Combine like terms: -22 + 18 = -4 10x = -4 Divide each side by '10'. x = -0.4 Simplifying x = -0.4
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