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Simplifying 4(4x + 3) = 6x + 22 Reorder the terms: 4(3 + 4x) = 6x + 22 (3 * 4 + 4x * 4) = 6x + 22 (12 + 16x) = 6x + 22 Reorder the terms: 12 + 16x = 22 + 6x Solving 12 + 16x = 22 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + 16x + -6x = 22 + 6x + -6x Combine like terms: 16x + -6x = 10x 12 + 10x = 22 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + 10x = 22 + 0 12 + 10x = 22 Add '-12' to each side of the equation. 12 + -12 + 10x = 22 + -12 Combine like terms: 12 + -12 = 0 0 + 10x = 22 + -12 10x = 22 + -12 Combine like terms: 22 + -12 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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