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Simplifying 5(x + -2) + -5 = 8 + -3(2x + 7) Reorder the terms: 5(-2 + x) + -5 = 8 + -3(2x + 7) (-2 * 5 + x * 5) + -5 = 8 + -3(2x + 7) (-10 + 5x) + -5 = 8 + -3(2x + 7) Reorder the terms: -10 + -5 + 5x = 8 + -3(2x + 7) Combine like terms: -10 + -5 = -15 -15 + 5x = 8 + -3(2x + 7) Reorder the terms: -15 + 5x = 8 + -3(7 + 2x) -15 + 5x = 8 + (7 * -3 + 2x * -3) -15 + 5x = 8 + (-21 + -6x) Combine like terms: 8 + -21 = -13 -15 + 5x = -13 + -6x Solving -15 + 5x = -13 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -15 + 5x + 6x = -13 + -6x + 6x Combine like terms: 5x + 6x = 11x -15 + 11x = -13 + -6x + 6x Combine like terms: -6x + 6x = 0 -15 + 11x = -13 + 0 -15 + 11x = -13 Add '15' to each side of the equation. -15 + 15 + 11x = -13 + 15 Combine like terms: -15 + 15 = 0 0 + 11x = -13 + 15 11x = -13 + 15 Combine like terms: -13 + 15 = 2 11x = 2 Divide each side by '11'. x = 0.1818181818 Simplifying x = 0.1818181818
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