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Simplifying 4(4x + -7) + 4x = 2x + -21 + 16x Reorder the terms: 4(-7 + 4x) + 4x = 2x + -21 + 16x (-7 * 4 + 4x * 4) + 4x = 2x + -21 + 16x (-28 + 16x) + 4x = 2x + -21 + 16x Combine like terms: 16x + 4x = 20x -28 + 20x = 2x + -21 + 16x Reorder the terms: -28 + 20x = -21 + 2x + 16x Combine like terms: 2x + 16x = 18x -28 + 20x = -21 + 18x Solving -28 + 20x = -21 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -28 + 20x + -18x = -21 + 18x + -18x Combine like terms: 20x + -18x = 2x -28 + 2x = -21 + 18x + -18x Combine like terms: 18x + -18x = 0 -28 + 2x = -21 + 0 -28 + 2x = -21 Add '28' to each side of the equation. -28 + 28 + 2x = -21 + 28 Combine like terms: -28 + 28 = 0 0 + 2x = -21 + 28 2x = -21 + 28 Combine like terms: -21 + 28 = 7 2x = 7 Divide each side by '2'. x = 3.5 Simplifying x = 3.5
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