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Simplifying 3x + -6 * 3 + 7 = -5(-1x + -6) Multiply -6 * 3 3x + -18 + 7 = -5(-1x + -6) Reorder the terms: -18 + 7 + 3x = -5(-1x + -6) Combine like terms: -18 + 7 = -11 -11 + 3x = -5(-1x + -6) Reorder the terms: -11 + 3x = -5(-6 + -1x) -11 + 3x = (-6 * -5 + -1x * -5) -11 + 3x = (30 + 5x) Solving -11 + 3x = 30 + 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. -11 + 3x + -5x = 30 + 5x + -5x Combine like terms: 3x + -5x = -2x -11 + -2x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 -11 + -2x = 30 + 0 -11 + -2x = 30 Add '11' to each side of the equation. -11 + 11 + -2x = 30 + 11 Combine like terms: -11 + 11 = 0 0 + -2x = 30 + 11 -2x = 30 + 11 Combine like terms: 30 + 11 = 41 -2x = 41 Divide each side by '-2'. x = -20.5 Simplifying x = -20.5
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