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Simplifying 3x + 5 = 6(2x + -7) Reorder the terms: 5 + 3x = 6(2x + -7) Reorder the terms: 5 + 3x = 6(-7 + 2x) 5 + 3x = (-7 * 6 + 2x * 6) 5 + 3x = (-42 + 12x) Solving 5 + 3x = -42 + 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 = -42 + 12x + -12x Combine like terms: 3x + -12x = -9x 5 + -9x = -42 + 12x + -12x Combine like terms: 12x + -12x = 0 5 + -9x = -42 + 0 5 + -9x = -42 Add '-5' to each side of the equation. 5 + -5 + -9x = -42 + -5 Combine like terms: 5 + -5 = 0 0 + -9x = -42 + -5 -9x = -42 + -5 Combine like terms: -42 + -5 = -47 -9x = -47 Divide each side by '-9'. x = 5.222222222 Simplifying x = 5.222222222
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