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Simplifying 20(13x + 8) = -24(x + -3) Reorder the terms: 20(8 + 13x) = -24(x + -3) (8 * 20 + 13x * 20) = -24(x + -3) (160 + 260x) = -24(x + -3) Reorder the terms: 160 + 260x = -24(-3 + x) 160 + 260x = (-3 * -24 + x * -24) 160 + 260x = (72 + -24x) Solving 160 + 260x = 72 + -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. 160 + 260x + 24x = 72 + -24x + 24x Combine like terms: 260x + 24x = 284x 160 + 284x = 72 + -24x + 24x Combine like terms: -24x + 24x = 0 160 + 284x = 72 + 0 160 + 284x = 72 Add '-160' to each side of the equation. 160 + -160 + 284x = 72 + -160 Combine like terms: 160 + -160 = 0 0 + 284x = 72 + -160 284x = 72 + -160 Combine like terms: 72 + -160 = -88 284x = -88 Divide each side by '284'. x = -0.3098591549 Simplifying x = -0.3098591549
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