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Simplifying -6(x + 5) + -7 = 7(x + 3) Reorder the terms: -6(5 + x) + -7 = 7(x + 3) (5 * -6 + x * -6) + -7 = 7(x + 3) (-30 + -6x) + -7 = 7(x + 3) Reorder the terms: -30 + -7 + -6x = 7(x + 3) Combine like terms: -30 + -7 = -37 -37 + -6x = 7(x + 3) Reorder the terms: -37 + -6x = 7(3 + x) -37 + -6x = (3 * 7 + x * 7) -37 + -6x = (21 + 7x) Solving -37 + -6x = 21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -37 + -6x + -7x = 21 + 7x + -7x Combine like terms: -6x + -7x = -13x -37 + -13x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 -37 + -13x = 21 + 0 -37 + -13x = 21 Add '37' to each side of the equation. -37 + 37 + -13x = 21 + 37 Combine like terms: -37 + 37 = 0 0 + -13x = 21 + 37 -13x = 21 + 37 Combine like terms: 21 + 37 = 58 -13x = 58 Divide each side by '-13'. x = -4.461538462 Simplifying x = -4.461538462
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