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Simplifying -5x + -30 = 3(x + 6) Reorder the terms: -30 + -5x = 3(x + 6) Reorder the terms: -30 + -5x = 3(6 + x) -30 + -5x = (6 * 3 + x * 3) -30 + -5x = (18 + 3x) Solving -30 + -5x = 18 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -30 + -5x + -3x = 18 + 3x + -3x Combine like terms: -5x + -3x = -8x -30 + -8x = 18 + 3x + -3x Combine like terms: 3x + -3x = 0 -30 + -8x = 18 + 0 -30 + -8x = 18 Add '30' to each side of the equation. -30 + 30 + -8x = 18 + 30 Combine like terms: -30 + 30 = 0 0 + -8x = 18 + 30 -8x = 18 + 30 Combine like terms: 18 + 30 = 48 -8x = 48 Divide each side by '-8'. x = -6 Simplifying x = -6
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