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Simplifying -6(x + 7) + -8(x + 3) = x + 7 + 2 Reorder the terms: -6(7 + x) + -8(x + 3) = x + 7 + 2 (7 * -6 + x * -6) + -8(x + 3) = x + 7 + 2 (-42 + -6x) + -8(x + 3) = x + 7 + 2 Reorder the terms: -42 + -6x + -8(3 + x) = x + 7 + 2 -42 + -6x + (3 * -8 + x * -8) = x + 7 + 2 -42 + -6x + (-24 + -8x) = x + 7 + 2 Reorder the terms: -42 + -24 + -6x + -8x = x + 7 + 2 Combine like terms: -42 + -24 = -66 -66 + -6x + -8x = x + 7 + 2 Combine like terms: -6x + -8x = -14x -66 + -14x = x + 7 + 2 Reorder the terms: -66 + -14x = 7 + 2 + x Combine like terms: 7 + 2 = 9 -66 + -14x = 9 + x Solving -66 + -14x = 9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -66 + -14x + -1x = 9 + x + -1x Combine like terms: -14x + -1x = -15x -66 + -15x = 9 + x + -1x Combine like terms: x + -1x = 0 -66 + -15x = 9 + 0 -66 + -15x = 9 Add '66' to each side of the equation. -66 + 66 + -15x = 9 + 66 Combine like terms: -66 + 66 = 0 0 + -15x = 9 + 66 -15x = 9 + 66 Combine like terms: 9 + 66 = 75 -15x = 75 Divide each side by '-15'. x = -5 Simplifying x = -5
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