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Simplifying 5(2x + -3) + 4 + -1(x + -7) = 41 Reorder the terms: 5(-3 + 2x) + 4 + -1(x + -7) = 41 (-3 * 5 + 2x * 5) + 4 + -1(x + -7) = 41 (-15 + 10x) + 4 + -1(x + -7) = 41 Reorder the terms: -15 + 10x + 4 + -1(-7 + x) = 41 -15 + 10x + 4 + (-7 * -1 + x * -1) = 41 -15 + 10x + 4 + (7 + -1x) = 41 Reorder the terms: -15 + 4 + 7 + 10x + -1x = 41 Combine like terms: -15 + 4 = -11 -11 + 7 + 10x + -1x = 41 Combine like terms: -11 + 7 = -4 -4 + 10x + -1x = 41 Combine like terms: 10x + -1x = 9x -4 + 9x = 41 Solving -4 + 9x = 41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 9x = 41 + 4 Combine like terms: -4 + 4 = 0 0 + 9x = 41 + 4 9x = 41 + 4 Combine like terms: 41 + 4 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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