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Simplifying -2(4x + -7) + 3(3x + -6) + -7 = 9 + -7 Reorder the terms: -2(-7 + 4x) + 3(3x + -6) + -7 = 9 + -7 (-7 * -2 + 4x * -2) + 3(3x + -6) + -7 = 9 + -7 (14 + -8x) + 3(3x + -6) + -7 = 9 + -7 Reorder the terms: 14 + -8x + 3(-6 + 3x) + -7 = 9 + -7 14 + -8x + (-6 * 3 + 3x * 3) + -7 = 9 + -7 14 + -8x + (-18 + 9x) + -7 = 9 + -7 Reorder the terms: 14 + -18 + -7 + -8x + 9x = 9 + -7 Combine like terms: 14 + -18 = -4 -4 + -7 + -8x + 9x = 9 + -7 Combine like terms: -4 + -7 = -11 -11 + -8x + 9x = 9 + -7 Combine like terms: -8x + 9x = 1x -11 + 1x = 9 + -7 Combine like terms: 9 + -7 = 2 -11 + 1x = 2 Solving -11 + 1x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 1x = 2 + 11 Combine like terms: -11 + 11 = 0 0 + 1x = 2 + 11 1x = 2 + 11 Combine like terms: 2 + 11 = 13 1x = 13 Divide each side by '1'. x = 13 Simplifying x = 13
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