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Simplifying -4(4x + -7) + 2 = 16x + 30 Reorder the terms: -4(-7 + 4x) + 2 = 16x + 30 (-7 * -4 + 4x * -4) + 2 = 16x + 30 (28 + -16x) + 2 = 16x + 30 Reorder the terms: 28 + 2 + -16x = 16x + 30 Combine like terms: 28 + 2 = 30 30 + -16x = 16x + 30 Reorder the terms: 30 + -16x = 30 + 16x Add '-30' to each side of the equation. 30 + -30 + -16x = 30 + -30 + 16x Combine like terms: 30 + -30 = 0 0 + -16x = 30 + -30 + 16x -16x = 30 + -30 + 16x Combine like terms: 30 + -30 = 0 -16x = 0 + 16x -16x = 16x Solving -16x = 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -16x + -16x = 16x + -16x Combine like terms: -16x + -16x = -32x -32x = 16x + -16x Combine like terms: 16x + -16x = 0 -32x = 0 Divide each side by '-32'. x = 0 Simplifying x = 0
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