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Simplifying -4(x + -6) = -7(x + -9) Reorder the terms: -4(-6 + x) = -7(x + -9) (-6 * -4 + x * -4) = -7(x + -9) (24 + -4x) = -7(x + -9) Reorder the terms: 24 + -4x = -7(-9 + x) 24 + -4x = (-9 * -7 + x * -7) 24 + -4x = (63 + -7x) Solving 24 + -4x = 63 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 24 + -4x + 7x = 63 + -7x + 7x Combine like terms: -4x + 7x = 3x 24 + 3x = 63 + -7x + 7x Combine like terms: -7x + 7x = 0 24 + 3x = 63 + 0 24 + 3x = 63 Add '-24' to each side of the equation. 24 + -24 + 3x = 63 + -24 Combine like terms: 24 + -24 = 0 0 + 3x = 63 + -24 3x = 63 + -24 Combine like terms: 63 + -24 = 39 3x = 39 Divide each side by '3'. x = 13 Simplifying x = 13
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