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Simplifying -7 + -6(6x + 6) = -1(3x + 8) + 3 Reorder the terms: -7 + -6(6 + 6x) = -1(3x + 8) + 3 -7 + (6 * -6 + 6x * -6) = -1(3x + 8) + 3 -7 + (-36 + -36x) = -1(3x + 8) + 3 Combine like terms: -7 + -36 = -43 -43 + -36x = -1(3x + 8) + 3 Reorder the terms: -43 + -36x = -1(8 + 3x) + 3 -43 + -36x = (8 * -1 + 3x * -1) + 3 -43 + -36x = (-8 + -3x) + 3 Reorder the terms: -43 + -36x = -8 + 3 + -3x Combine like terms: -8 + 3 = -5 -43 + -36x = -5 + -3x Solving -43 + -36x = -5 + -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. -43 + -36x + 3x = -5 + -3x + 3x Combine like terms: -36x + 3x = -33x -43 + -33x = -5 + -3x + 3x Combine like terms: -3x + 3x = 0 -43 + -33x = -5 + 0 -43 + -33x = -5 Add '43' to each side of the equation. -43 + 43 + -33x = -5 + 43 Combine like terms: -43 + 43 = 0 0 + -33x = -5 + 43 -33x = -5 + 43 Combine like terms: -5 + 43 = 38 -33x = 38 Divide each side by '-33'. x = -1.151515152 Simplifying x = -1.151515152
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