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Simplifying 6(5x + -7) = 6(-7x + -4) Reorder the terms: 6(-7 + 5x) = 6(-7x + -4) (-7 * 6 + 5x * 6) = 6(-7x + -4) (-42 + 30x) = 6(-7x + -4) Reorder the terms: -42 + 30x = 6(-4 + -7x) -42 + 30x = (-4 * 6 + -7x * 6) -42 + 30x = (-24 + -42x) Solving -42 + 30x = -24 + -42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42x' to each side of the equation. -42 + 30x + 42x = -24 + -42x + 42x Combine like terms: 30x + 42x = 72x -42 + 72x = -24 + -42x + 42x Combine like terms: -42x + 42x = 0 -42 + 72x = -24 + 0 -42 + 72x = -24 Add '42' to each side of the equation. -42 + 42 + 72x = -24 + 42 Combine like terms: -42 + 42 = 0 0 + 72x = -24 + 42 72x = -24 + 42 Combine like terms: -24 + 42 = 18 72x = 18 Divide each side by '72'. x = 0.25 Simplifying x = 0.25
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