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Simplifying 3(x + -7) = 6(2x + 5) Reorder the terms: 3(-7 + x) = 6(2x + 5) (-7 * 3 + x * 3) = 6(2x + 5) (-21 + 3x) = 6(2x + 5) Reorder the terms: -21 + 3x = 6(5 + 2x) -21 + 3x = (5 * 6 + 2x * 6) -21 + 3x = (30 + 12x) Solving -21 + 3x = 30 + 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. -21 + 3x + -12x = 30 + 12x + -12x Combine like terms: 3x + -12x = -9x -21 + -9x = 30 + 12x + -12x Combine like terms: 12x + -12x = 0 -21 + -9x = 30 + 0 -21 + -9x = 30 Add '21' to each side of the equation. -21 + 21 + -9x = 30 + 21 Combine like terms: -21 + 21 = 0 0 + -9x = 30 + 21 -9x = 30 + 21 Combine like terms: 30 + 21 = 51 -9x = 51 Divide each side by '-9'. x = -5.666666667 Simplifying x = -5.666666667
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