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Simplifying 2(2x + -5) + -3(4 + 6x) = 6 Reorder the terms: 2(-5 + 2x) + -3(4 + 6x) = 6 (-5 * 2 + 2x * 2) + -3(4 + 6x) = 6 (-10 + 4x) + -3(4 + 6x) = 6 -10 + 4x + (4 * -3 + 6x * -3) = 6 -10 + 4x + (-12 + -18x) = 6 Reorder the terms: -10 + -12 + 4x + -18x = 6 Combine like terms: -10 + -12 = -22 -22 + 4x + -18x = 6 Combine like terms: 4x + -18x = -14x -22 + -14x = 6 Solving -22 + -14x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -14x = 6 + 22 Combine like terms: -22 + 22 = 0 0 + -14x = 6 + 22 -14x = 6 + 22 Combine like terms: 6 + 22 = 28 -14x = 28 Divide each side by '-14'. x = -2 Simplifying x = -2
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