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Simplifying 2(x + -3) + 8x + -1 = 5(x + 2) Reorder the terms: 2(-3 + x) + 8x + -1 = 5(x + 2) (-3 * 2 + x * 2) + 8x + -1 = 5(x + 2) (-6 + 2x) + 8x + -1 = 5(x + 2) Reorder the terms: -6 + -1 + 2x + 8x = 5(x + 2) Combine like terms: -6 + -1 = -7 -7 + 2x + 8x = 5(x + 2) Combine like terms: 2x + 8x = 10x -7 + 10x = 5(x + 2) Reorder the terms: -7 + 10x = 5(2 + x) -7 + 10x = (2 * 5 + x * 5) -7 + 10x = (10 + 5x) Solving -7 + 10x = 10 + 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. -7 + 10x + -5x = 10 + 5x + -5x Combine like terms: 10x + -5x = 5x -7 + 5x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + 5x = 10 + 0 -7 + 5x = 10 Add '7' to each side of the equation. -7 + 7 + 5x = 10 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 10 + 7 5x = 10 + 7 Combine like terms: 10 + 7 = 17 5x = 17 Divide each side by '5'. x = 3.4 Simplifying x = 3.4
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