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Simplifying 3(2 + -6x) + -4(1 + -7x) = -48 (2 * 3 + -6x * 3) + -4(1 + -7x) = -48 (6 + -18x) + -4(1 + -7x) = -48 6 + -18x + (1 * -4 + -7x * -4) = -48 6 + -18x + (-4 + 28x) = -48 Reorder the terms: 6 + -4 + -18x + 28x = -48 Combine like terms: 6 + -4 = 2 2 + -18x + 28x = -48 Combine like terms: -18x + 28x = 10x 2 + 10x = -48 Solving 2 + 10x = -48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 10x = -48 + -2 Combine like terms: 2 + -2 = 0 0 + 10x = -48 + -2 10x = -48 + -2 Combine like terms: -48 + -2 = -50 10x = -50 Divide each side by '10'. x = -5 Simplifying x = -5
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