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Simplifying 8x + -3(2x + 5) = 1 + 5(x + -2) Reorder the terms: 8x + -3(5 + 2x) = 1 + 5(x + -2) 8x + (5 * -3 + 2x * -3) = 1 + 5(x + -2) 8x + (-15 + -6x) = 1 + 5(x + -2) Reorder the terms: -15 + 8x + -6x = 1 + 5(x + -2) Combine like terms: 8x + -6x = 2x -15 + 2x = 1 + 5(x + -2) Reorder the terms: -15 + 2x = 1 + 5(-2 + x) -15 + 2x = 1 + (-2 * 5 + x * 5) -15 + 2x = 1 + (-10 + 5x) Combine like terms: 1 + -10 = -9 -15 + 2x = -9 + 5x Solving -15 + 2x = -9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -15 + 2x + -5x = -9 + 5x + -5x Combine like terms: 2x + -5x = -3x -15 + -3x = -9 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + -3x = -9 + 0 -15 + -3x = -9 Add '15' to each side of the equation. -15 + 15 + -3x = -9 + 15 Combine like terms: -15 + 15 = 0 0 + -3x = -9 + 15 -3x = -9 + 15 Combine like terms: -9 + 15 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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