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Simplifying 3(x + -2) + -1 = 8(x + 5) Reorder the terms: 3(-2 + x) + -1 = 8(x + 5) (-2 * 3 + x * 3) + -1 = 8(x + 5) (-6 + 3x) + -1 = 8(x + 5) Reorder the terms: -6 + -1 + 3x = 8(x + 5) Combine like terms: -6 + -1 = -7 -7 + 3x = 8(x + 5) Reorder the terms: -7 + 3x = 8(5 + x) -7 + 3x = (5 * 8 + x * 8) -7 + 3x = (40 + 8x) Solving -7 + 3x = 40 + 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. -7 + 3x + -8x = 40 + 8x + -8x Combine like terms: 3x + -8x = -5x -7 + -5x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + -5x = 40 + 0 -7 + -5x = 40 Add '7' to each side of the equation. -7 + 7 + -5x = 40 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = 40 + 7 -5x = 40 + 7 Combine like terms: 40 + 7 = 47 -5x = 47 Divide each side by '-5'. x = -9.4 Simplifying x = -9.4
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