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Simplifying 4 + 6(x + 6) = 10x + -5(x + -6) Reorder the terms: 4 + 6(6 + x) = 10x + -5(x + -6) 4 + (6 * 6 + x * 6) = 10x + -5(x + -6) 4 + (36 + 6x) = 10x + -5(x + -6) Combine like terms: 4 + 36 = 40 40 + 6x = 10x + -5(x + -6) Reorder the terms: 40 + 6x = 10x + -5(-6 + x) 40 + 6x = 10x + (-6 * -5 + x * -5) 40 + 6x = 10x + (30 + -5x) Reorder the terms: 40 + 6x = 30 + 10x + -5x Combine like terms: 10x + -5x = 5x 40 + 6x = 30 + 5x Solving 40 + 6x = 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. 40 + 6x + -5x = 30 + 5x + -5x Combine like terms: 6x + -5x = 1x 40 + 1x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 40 + 1x = 30 + 0 40 + 1x = 30 Add '-40' to each side of the equation. 40 + -40 + 1x = 30 + -40 Combine like terms: 40 + -40 = 0 0 + 1x = 30 + -40 1x = 30 + -40 Combine like terms: 30 + -40 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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