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Simplifying 6(3x + -7) = 6(-9x + -5) Reorder the terms: 6(-7 + 3x) = 6(-9x + -5) (-7 * 6 + 3x * 6) = 6(-9x + -5) (-42 + 18x) = 6(-9x + -5) Reorder the terms: -42 + 18x = 6(-5 + -9x) -42 + 18x = (-5 * 6 + -9x * 6) -42 + 18x = (-30 + -54x) Solving -42 + 18x = -30 + -54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54x' to each side of the equation. -42 + 18x + 54x = -30 + -54x + 54x Combine like terms: 18x + 54x = 72x -42 + 72x = -30 + -54x + 54x Combine like terms: -54x + 54x = 0 -42 + 72x = -30 + 0 -42 + 72x = -30 Add '42' to each side of the equation. -42 + 42 + 72x = -30 + 42 Combine like terms: -42 + 42 = 0 0 + 72x = -30 + 42 72x = -30 + 42 Combine like terms: -30 + 42 = 12 72x = 12 Divide each side by '72'. x = 0.1666666667 Simplifying x = 0.1666666667
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