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Simplifying (2x + -7) * 7 = 9(2x + -11) Reorder the terms: (-7 + 2x) * 7 = 9(2x + -11) Reorder the terms for easier multiplication: 7(-7 + 2x) = 9(2x + -11) (-7 * 7 + 2x * 7) = 9(2x + -11) (-49 + 14x) = 9(2x + -11) Reorder the terms: -49 + 14x = 9(-11 + 2x) -49 + 14x = (-11 * 9 + 2x * 9) -49 + 14x = (-99 + 18x) Solving -49 + 14x = -99 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -49 + 14x + -18x = -99 + 18x + -18x Combine like terms: 14x + -18x = -4x -49 + -4x = -99 + 18x + -18x Combine like terms: 18x + -18x = 0 -49 + -4x = -99 + 0 -49 + -4x = -99 Add '49' to each side of the equation. -49 + 49 + -4x = -99 + 49 Combine like terms: -49 + 49 = 0 0 + -4x = -99 + 49 -4x = -99 + 49 Combine like terms: -99 + 49 = -50 -4x = -50 Divide each side by '-4'. x = 12.5 Simplifying x = 12.5
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