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Simplifying 5(3x + -2) + -4(x + 11) = 7 Reorder the terms: 5(-2 + 3x) + -4(x + 11) = 7 (-2 * 5 + 3x * 5) + -4(x + 11) = 7 (-10 + 15x) + -4(x + 11) = 7 Reorder the terms: -10 + 15x + -4(11 + x) = 7 -10 + 15x + (11 * -4 + x * -4) = 7 -10 + 15x + (-44 + -4x) = 7 Reorder the terms: -10 + -44 + 15x + -4x = 7 Combine like terms: -10 + -44 = -54 -54 + 15x + -4x = 7 Combine like terms: 15x + -4x = 11x -54 + 11x = 7 Solving -54 + 11x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + 11x = 7 + 54 Combine like terms: -54 + 54 = 0 0 + 11x = 7 + 54 11x = 7 + 54 Combine like terms: 7 + 54 = 61 11x = 61 Divide each side by '11'. x = 5.545454545 Simplifying x = 5.545454545
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