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Simplifying 15x + 24 = 6(-4x + -13) Reorder the terms: 24 + 15x = 6(-4x + -13) Reorder the terms: 24 + 15x = 6(-13 + -4x) 24 + 15x = (-13 * 6 + -4x * 6) 24 + 15x = (-78 + -24x) Solving 24 + 15x = -78 + -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. 24 + 15x + 24x = -78 + -24x + 24x Combine like terms: 15x + 24x = 39x 24 + 39x = -78 + -24x + 24x Combine like terms: -24x + 24x = 0 24 + 39x = -78 + 0 24 + 39x = -78 Add '-24' to each side of the equation. 24 + -24 + 39x = -78 + -24 Combine like terms: 24 + -24 = 0 0 + 39x = -78 + -24 39x = -78 + -24 Combine like terms: -78 + -24 = -102 39x = -102 Divide each side by '39'. x = -2.615384615 Simplifying x = -2.615384615
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