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Simplifying 2(6x + 4) + -15 = -2(3x + -82) Reorder the terms: 2(4 + 6x) + -15 = -2(3x + -82) (4 * 2 + 6x * 2) + -15 = -2(3x + -82) (8 + 12x) + -15 = -2(3x + -82) Reorder the terms: 8 + -15 + 12x = -2(3x + -82) Combine like terms: 8 + -15 = -7 -7 + 12x = -2(3x + -82) Reorder the terms: -7 + 12x = -2(-82 + 3x) -7 + 12x = (-82 * -2 + 3x * -2) -7 + 12x = (164 + -6x) Solving -7 + 12x = 164 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -7 + 12x + 6x = 164 + -6x + 6x Combine like terms: 12x + 6x = 18x -7 + 18x = 164 + -6x + 6x Combine like terms: -6x + 6x = 0 -7 + 18x = 164 + 0 -7 + 18x = 164 Add '7' to each side of the equation. -7 + 7 + 18x = 164 + 7 Combine like terms: -7 + 7 = 0 0 + 18x = 164 + 7 18x = 164 + 7 Combine like terms: 164 + 7 = 171 18x = 171 Divide each side by '18'. x = 9.5 Simplifying x = 9.5
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