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Simplifying -4(-4x + 7) = 3(5x + 2) Reorder the terms: -4(7 + -4x) = 3(5x + 2) (7 * -4 + -4x * -4) = 3(5x + 2) (-28 + 16x) = 3(5x + 2) Reorder the terms: -28 + 16x = 3(2 + 5x) -28 + 16x = (2 * 3 + 5x * 3) -28 + 16x = (6 + 15x) Solving -28 + 16x = 6 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -28 + 16x + -15x = 6 + 15x + -15x Combine like terms: 16x + -15x = 1x -28 + 1x = 6 + 15x + -15x Combine like terms: 15x + -15x = 0 -28 + 1x = 6 + 0 -28 + 1x = 6 Add '28' to each side of the equation. -28 + 28 + 1x = 6 + 28 Combine like terms: -28 + 28 = 0 0 + 1x = 6 + 28 1x = 6 + 28 Combine like terms: 6 + 28 = 34 1x = 34 Divide each side by '1'. x = 34 Simplifying x = 34
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