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Simplifying -300 = -2x + -6(7x + -38) Reorder the terms: -300 = -2x + -6(-38 + 7x) -300 = -2x + (-38 * -6 + 7x * -6) -300 = -2x + (228 + -42x) Reorder the terms: -300 = 228 + -2x + -42x Combine like terms: -2x + -42x = -44x -300 = 228 + -44x Solving -300 = 228 + -44x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44x' to each side of the equation. -300 + 44x = 228 + -44x + 44x Combine like terms: -44x + 44x = 0 -300 + 44x = 228 + 0 -300 + 44x = 228 Add '300' to each side of the equation. -300 + 300 + 44x = 228 + 300 Combine like terms: -300 + 300 = 0 0 + 44x = 228 + 300 44x = 228 + 300 Combine like terms: 228 + 300 = 528 44x = 528 Divide each side by '44'. x = 12 Simplifying x = 12
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