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Simplifying 4(2x + 5) + -21 = 7x + 6 Reorder the terms: 4(5 + 2x) + -21 = 7x + 6 (5 * 4 + 2x * 4) + -21 = 7x + 6 (20 + 8x) + -21 = 7x + 6 Reorder the terms: 20 + -21 + 8x = 7x + 6 Combine like terms: 20 + -21 = -1 -1 + 8x = 7x + 6 Reorder the terms: -1 + 8x = 6 + 7x Solving -1 + 8x = 6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -1 + 8x + -7x = 6 + 7x + -7x Combine like terms: 8x + -7x = 1x -1 + 1x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + 1x = 6 + 0 -1 + 1x = 6 Add '1' to each side of the equation. -1 + 1 + 1x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 6 + 1 1x = 6 + 1 Combine like terms: 6 + 1 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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