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Simplifying 2 + (x + -4) = 5(6 + -1x) + 10 Reorder the terms: 2 + (-4 + x) = 5(6 + -1x) + 10 Remove parenthesis around (-4 + x) 2 + -4 + x = 5(6 + -1x) + 10 Combine like terms: 2 + -4 = -2 -2 + x = 5(6 + -1x) + 10 -2 + x = (6 * 5 + -1x * 5) + 10 -2 + x = (30 + -5x) + 10 Reorder the terms: -2 + x = 30 + 10 + -5x Combine like terms: 30 + 10 = 40 -2 + x = 40 + -5x Solving -2 + x = 40 + -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. -2 + x + 5x = 40 + -5x + 5x Combine like terms: x + 5x = 6x -2 + 6x = 40 + -5x + 5x Combine like terms: -5x + 5x = 0 -2 + 6x = 40 + 0 -2 + 6x = 40 Add '2' to each side of the equation. -2 + 2 + 6x = 40 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = 40 + 2 6x = 40 + 2 Combine like terms: 40 + 2 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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