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Simplifying -7(x + 7) + -4 = 6(x + 2) Reorder the terms: -7(7 + x) + -4 = 6(x + 2) (7 * -7 + x * -7) + -4 = 6(x + 2) (-49 + -7x) + -4 = 6(x + 2) Reorder the terms: -49 + -4 + -7x = 6(x + 2) Combine like terms: -49 + -4 = -53 -53 + -7x = 6(x + 2) Reorder the terms: -53 + -7x = 6(2 + x) -53 + -7x = (2 * 6 + x * 6) -53 + -7x = (12 + 6x) Solving -53 + -7x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -53 + -7x + -6x = 12 + 6x + -6x Combine like terms: -7x + -6x = -13x -53 + -13x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -53 + -13x = 12 + 0 -53 + -13x = 12 Add '53' to each side of the equation. -53 + 53 + -13x = 12 + 53 Combine like terms: -53 + 53 = 0 0 + -13x = 12 + 53 -13x = 12 + 53 Combine like terms: 12 + 53 = 65 -13x = 65 Divide each side by '-13'. x = -5 Simplifying x = -5
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