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Simplifying 2(3x + 2) + -15 = 15 + (16 + 9x) + -7 Reorder the terms: 2(2 + 3x) + -15 = 15 + (16 + 9x) + -7 (2 * 2 + 3x * 2) + -15 = 15 + (16 + 9x) + -7 (4 + 6x) + -15 = 15 + (16 + 9x) + -7 Reorder the terms: 4 + -15 + 6x = 15 + (16 + 9x) + -7 Combine like terms: 4 + -15 = -11 -11 + 6x = 15 + (16 + 9x) + -7 Remove parenthesis around (16 + 9x) -11 + 6x = 15 + 16 + 9x + -7 Reorder the terms: -11 + 6x = 15 + 16 + -7 + 9x Combine like terms: 15 + 16 = 31 -11 + 6x = 31 + -7 + 9x Combine like terms: 31 + -7 = 24 -11 + 6x = 24 + 9x Solving -11 + 6x = 24 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -11 + 6x + -9x = 24 + 9x + -9x Combine like terms: 6x + -9x = -3x -11 + -3x = 24 + 9x + -9x Combine like terms: 9x + -9x = 0 -11 + -3x = 24 + 0 -11 + -3x = 24 Add '11' to each side of the equation. -11 + 11 + -3x = 24 + 11 Combine like terms: -11 + 11 = 0 0 + -3x = 24 + 11 -3x = 24 + 11 Combine like terms: 24 + 11 = 35 -3x = 35 Divide each side by '-3'. x = -11.66666667 Simplifying x = -11.66666667
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