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Simplifying 6(4x + -3) + -1(2 + x) = 55 + -2x Reorder the terms: 6(-3 + 4x) + -1(2 + x) = 55 + -2x (-3 * 6 + 4x * 6) + -1(2 + x) = 55 + -2x (-18 + 24x) + -1(2 + x) = 55 + -2x -18 + 24x + (2 * -1 + x * -1) = 55 + -2x -18 + 24x + (-2 + -1x) = 55 + -2x Reorder the terms: -18 + -2 + 24x + -1x = 55 + -2x Combine like terms: -18 + -2 = -20 -20 + 24x + -1x = 55 + -2x Combine like terms: 24x + -1x = 23x -20 + 23x = 55 + -2x Solving -20 + 23x = 55 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -20 + 23x + 2x = 55 + -2x + 2x Combine like terms: 23x + 2x = 25x -20 + 25x = 55 + -2x + 2x Combine like terms: -2x + 2x = 0 -20 + 25x = 55 + 0 -20 + 25x = 55 Add '20' to each side of the equation. -20 + 20 + 25x = 55 + 20 Combine like terms: -20 + 20 = 0 0 + 25x = 55 + 20 25x = 55 + 20 Combine like terms: 55 + 20 = 75 25x = 75 Divide each side by '25'. x = 3 Simplifying x = 3
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