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Simplifying 9(7x + 6) = 4(6x + -10) Reorder the terms: 9(6 + 7x) = 4(6x + -10) (6 * 9 + 7x * 9) = 4(6x + -10) (54 + 63x) = 4(6x + -10) Reorder the terms: 54 + 63x = 4(-10 + 6x) 54 + 63x = (-10 * 4 + 6x * 4) 54 + 63x = (-40 + 24x) Solving 54 + 63x = -40 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 54 + 63x + -24x = -40 + 24x + -24x Combine like terms: 63x + -24x = 39x 54 + 39x = -40 + 24x + -24x Combine like terms: 24x + -24x = 0 54 + 39x = -40 + 0 54 + 39x = -40 Add '-54' to each side of the equation. 54 + -54 + 39x = -40 + -54 Combine like terms: 54 + -54 = 0 0 + 39x = -40 + -54 39x = -40 + -54 Combine like terms: -40 + -54 = -94 39x = -94 Divide each side by '39'. x = -2.41025641 Simplifying x = -2.41025641
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