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Simplifying -3 = 7 + 5(x + -6) Reorder the terms: -3 = 7 + 5(-6 + x) -3 = 7 + (-6 * 5 + x * 5) -3 = 7 + (-30 + 5x) Combine like terms: 7 + -30 = -23 -3 = -23 + 5x Solving -3 = -23 + 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. -3 + -5x = -23 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -5x = -23 + 0 -3 + -5x = -23 Add '3' to each side of the equation. -3 + 3 + -5x = -23 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = -23 + 3 -5x = -23 + 3 Combine like terms: -23 + 3 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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