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Simplifying -7x + 8(-2x + -6) = 3x + 4 Reorder the terms: -7x + 8(-6 + -2x) = 3x + 4 -7x + (-6 * 8 + -2x * 8) = 3x + 4 -7x + (-48 + -16x) = 3x + 4 Reorder the terms: -48 + -7x + -16x = 3x + 4 Combine like terms: -7x + -16x = -23x -48 + -23x = 3x + 4 Reorder the terms: -48 + -23x = 4 + 3x Solving -48 + -23x = 4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -48 + -23x + -3x = 4 + 3x + -3x Combine like terms: -23x + -3x = -26x -48 + -26x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -48 + -26x = 4 + 0 -48 + -26x = 4 Add '48' to each side of the equation. -48 + 48 + -26x = 4 + 48 Combine like terms: -48 + 48 = 0 0 + -26x = 4 + 48 -26x = 4 + 48 Combine like terms: 4 + 48 = 52 -26x = 52 Divide each side by '-26'. x = -2 Simplifying x = -2
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