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Simplifying -4(4x + 2) + 3(5x + 3) = 4 Reorder the terms: -4(2 + 4x) + 3(5x + 3) = 4 (2 * -4 + 4x * -4) + 3(5x + 3) = 4 (-8 + -16x) + 3(5x + 3) = 4 Reorder the terms: -8 + -16x + 3(3 + 5x) = 4 -8 + -16x + (3 * 3 + 5x * 3) = 4 -8 + -16x + (9 + 15x) = 4 Reorder the terms: -8 + 9 + -16x + 15x = 4 Combine like terms: -8 + 9 = 1 1 + -16x + 15x = 4 Combine like terms: -16x + 15x = -1x 1 + -1x = 4 Solving 1 + -1x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 4 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 4 + -1 -1x = 4 + -1 Combine like terms: 4 + -1 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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