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Simplifying 4(5X + -6) + -7 = 4 + -5(6X + -7) Reorder the terms: 4(-6 + 5X) + -7 = 4 + -5(6X + -7) (-6 * 4 + 5X * 4) + -7 = 4 + -5(6X + -7) (-24 + 20X) + -7 = 4 + -5(6X + -7) Reorder the terms: -24 + -7 + 20X = 4 + -5(6X + -7) Combine like terms: -24 + -7 = -31 -31 + 20X = 4 + -5(6X + -7) Reorder the terms: -31 + 20X = 4 + -5(-7 + 6X) -31 + 20X = 4 + (-7 * -5 + 6X * -5) -31 + 20X = 4 + (35 + -30X) Combine like terms: 4 + 35 = 39 -31 + 20X = 39 + -30X Solving -31 + 20X = 39 + -30X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '30X' to each side of the equation. -31 + 20X + 30X = 39 + -30X + 30X Combine like terms: 20X + 30X = 50X -31 + 50X = 39 + -30X + 30X Combine like terms: -30X + 30X = 0 -31 + 50X = 39 + 0 -31 + 50X = 39 Add '31' to each side of the equation. -31 + 31 + 50X = 39 + 31 Combine like terms: -31 + 31 = 0 0 + 50X = 39 + 31 50X = 39 + 31 Combine like terms: 39 + 31 = 70 50X = 70 Divide each side by '50'. X = 1.4 Simplifying X = 1.4
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