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Simplifying 3(x + -2) + -3 = 6(x + 5) Reorder the terms: 3(-2 + x) + -3 = 6(x + 5) (-2 * 3 + x * 3) + -3 = 6(x + 5) (-6 + 3x) + -3 = 6(x + 5) Reorder the terms: -6 + -3 + 3x = 6(x + 5) Combine like terms: -6 + -3 = -9 -9 + 3x = 6(x + 5) Reorder the terms: -9 + 3x = 6(5 + x) -9 + 3x = (5 * 6 + x * 6) -9 + 3x = (30 + 6x) Solving -9 + 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. -9 + 3x + -6x = 30 + 6x + -6x Combine like terms: 3x + -6x = -3x -9 + -3x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 -9 + -3x = 30 + 0 -9 + -3x = 30 Add '9' to each side of the equation. -9 + 9 + -3x = 30 + 9 Combine like terms: -9 + 9 = 0 0 + -3x = 30 + 9 -3x = 30 + 9 Combine like terms: 30 + 9 = 39 -3x = 39 Divide each side by '-3'. x = -13 Simplifying x = -13
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