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Simplifying 3x + 5 = 2(6x + -2) + -9 Reorder the terms: 5 + 3x = 2(6x + -2) + -9 Reorder the terms: 5 + 3x = 2(-2 + 6x) + -9 5 + 3x = (-2 * 2 + 6x * 2) + -9 5 + 3x = (-4 + 12x) + -9 Reorder the terms: 5 + 3x = -4 + -9 + 12x Combine like terms: -4 + -9 = -13 5 + 3x = -13 + 12x Solving 5 + 3x = -13 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 5 + 3x + -12x = -13 + 12x + -12x Combine like terms: 3x + -12x = -9x 5 + -9x = -13 + 12x + -12x Combine like terms: 12x + -12x = 0 5 + -9x = -13 + 0 5 + -9x = -13 Add '-5' to each side of the equation. 5 + -5 + -9x = -13 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = -13 + -5 -9x = -13 + -5 Combine like terms: -13 + -5 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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