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Simplifying 2 + 4(4x + -6) = 6 + -4(2x + 1) Reorder the terms: 2 + 4(-6 + 4x) = 6 + -4(2x + 1) 2 + (-6 * 4 + 4x * 4) = 6 + -4(2x + 1) 2 + (-24 + 16x) = 6 + -4(2x + 1) Combine like terms: 2 + -24 = -22 -22 + 16x = 6 + -4(2x + 1) Reorder the terms: -22 + 16x = 6 + -4(1 + 2x) -22 + 16x = 6 + (1 * -4 + 2x * -4) -22 + 16x = 6 + (-4 + -8x) Combine like terms: 6 + -4 = 2 -22 + 16x = 2 + -8x Solving -22 + 16x = 2 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -22 + 16x + 8x = 2 + -8x + 8x Combine like terms: 16x + 8x = 24x -22 + 24x = 2 + -8x + 8x Combine like terms: -8x + 8x = 0 -22 + 24x = 2 + 0 -22 + 24x = 2 Add '22' to each side of the equation. -22 + 22 + 24x = 2 + 22 Combine like terms: -22 + 22 = 0 0 + 24x = 2 + 22 24x = 2 + 22 Combine like terms: 2 + 22 = 24 24x = 24 Divide each side by '24'. x = 1 Simplifying x = 1
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