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Simplifying 23(4x + 6) + 13x = 3(13x + -4) Reorder the terms: 23(6 + 4x) + 13x = 3(13x + -4) (6 * 23 + 4x * 23) + 13x = 3(13x + -4) (138 + 92x) + 13x = 3(13x + -4) Combine like terms: 92x + 13x = 105x 138 + 105x = 3(13x + -4) Reorder the terms: 138 + 105x = 3(-4 + 13x) 138 + 105x = (-4 * 3 + 13x * 3) 138 + 105x = (-12 + 39x) Solving 138 + 105x = -12 + 39x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39x' to each side of the equation. 138 + 105x + -39x = -12 + 39x + -39x Combine like terms: 105x + -39x = 66x 138 + 66x = -12 + 39x + -39x Combine like terms: 39x + -39x = 0 138 + 66x = -12 + 0 138 + 66x = -12 Add '-138' to each side of the equation. 138 + -138 + 66x = -12 + -138 Combine like terms: 138 + -138 = 0 0 + 66x = -12 + -138 66x = -12 + -138 Combine like terms: -12 + -138 = -150 66x = -150 Divide each side by '66'. x = -2.272727273 Simplifying x = -2.272727273
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