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Simplifying -9x + -6(x + 8) = -2(7x + 2) Reorder the terms: -9x + -6(8 + x) = -2(7x + 2) -9x + (8 * -6 + x * -6) = -2(7x + 2) -9x + (-48 + -6x) = -2(7x + 2) Reorder the terms: -48 + -9x + -6x = -2(7x + 2) Combine like terms: -9x + -6x = -15x -48 + -15x = -2(7x + 2) Reorder the terms: -48 + -15x = -2(2 + 7x) -48 + -15x = (2 * -2 + 7x * -2) -48 + -15x = (-4 + -14x) Solving -48 + -15x = -4 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -48 + -15x + 14x = -4 + -14x + 14x Combine like terms: -15x + 14x = -1x -48 + -1x = -4 + -14x + 14x Combine like terms: -14x + 14x = 0 -48 + -1x = -4 + 0 -48 + -1x = -4 Add '48' to each side of the equation. -48 + 48 + -1x = -4 + 48 Combine like terms: -48 + 48 = 0 0 + -1x = -4 + 48 -1x = -4 + 48 Combine like terms: -4 + 48 = 44 -1x = 44 Divide each side by '-1'. x = -44 Simplifying x = -44
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