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Simplifying -4(3x + 1) + 2(5 + -2x) = -90 Reorder the terms: -4(1 + 3x) + 2(5 + -2x) = -90 (1 * -4 + 3x * -4) + 2(5 + -2x) = -90 (-4 + -12x) + 2(5 + -2x) = -90 -4 + -12x + (5 * 2 + -2x * 2) = -90 -4 + -12x + (10 + -4x) = -90 Reorder the terms: -4 + 10 + -12x + -4x = -90 Combine like terms: -4 + 10 = 6 6 + -12x + -4x = -90 Combine like terms: -12x + -4x = -16x 6 + -16x = -90 Solving 6 + -16x = -90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -16x = -90 + -6 Combine like terms: 6 + -6 = 0 0 + -16x = -90 + -6 -16x = -90 + -6 Combine like terms: -90 + -6 = -96 -16x = -96 Divide each side by '-16'. x = 6 Simplifying x = 6
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