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Simplifying 3(x + -2) + -1 = 6(x + 5) Reorder the terms: 3(-2 + x) + -1 = 6(x + 5) (-2 * 3 + x * 3) + -1 = 6(x + 5) (-6 + 3x) + -1 = 6(x + 5) Reorder the terms: -6 + -1 + 3x = 6(x + 5) Combine like terms: -6 + -1 = -7 -7 + 3x = 6(x + 5) Reorder the terms: -7 + 3x = 6(5 + x) -7 + 3x = (5 * 6 + x * 6) -7 + 3x = (30 + 6x) Solving -7 + 3x = 30 + 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. -7 + 3x + -6x = 30 + 6x + -6x Combine like terms: 3x + -6x = -3x -7 + -3x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + -3x = 30 + 0 -7 + -3x = 30 Add '7' to each side of the equation. -7 + 7 + -3x = 30 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 30 + 7 -3x = 30 + 7 Combine like terms: 30 + 7 = 37 -3x = 37 Divide each side by '-3'. x = -12.33333333 Simplifying x = -12.33333333
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