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Simplifying 5x + 30 = -8(x + 7) Reorder the terms: 30 + 5x = -8(x + 7) Reorder the terms: 30 + 5x = -8(7 + x) 30 + 5x = (7 * -8 + x * -8) 30 + 5x = (-56 + -8x) Solving 30 + 5x = -56 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 30 + 5x + 8x = -56 + -8x + 8x Combine like terms: 5x + 8x = 13x 30 + 13x = -56 + -8x + 8x Combine like terms: -8x + 8x = 0 30 + 13x = -56 + 0 30 + 13x = -56 Add '-30' to each side of the equation. 30 + -30 + 13x = -56 + -30 Combine like terms: 30 + -30 = 0 0 + 13x = -56 + -30 13x = -56 + -30 Combine like terms: -56 + -30 = -86 13x = -86 Divide each side by '13'. x = -6.615384615 Simplifying x = -6.615384615
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