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Simplifying 3(2x + -1) + 2(x + -5) = 55 Reorder the terms: 3(-1 + 2x) + 2(x + -5) = 55 (-1 * 3 + 2x * 3) + 2(x + -5) = 55 (-3 + 6x) + 2(x + -5) = 55 Reorder the terms: -3 + 6x + 2(-5 + x) = 55 -3 + 6x + (-5 * 2 + x * 2) = 55 -3 + 6x + (-10 + 2x) = 55 Reorder the terms: -3 + -10 + 6x + 2x = 55 Combine like terms: -3 + -10 = -13 -13 + 6x + 2x = 55 Combine like terms: 6x + 2x = 8x -13 + 8x = 55 Solving -13 + 8x = 55 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 8x = 55 + 13 Combine like terms: -13 + 13 = 0 0 + 8x = 55 + 13 8x = 55 + 13 Combine like terms: 55 + 13 = 68 8x = 68 Divide each side by '8'. x = 8.5 Simplifying x = 8.5
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