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Simplifying 2 + 2(4x + -6) = 8 + -4(2x + 1) Reorder the terms: 2 + 2(-6 + 4x) = 8 + -4(2x + 1) 2 + (-6 * 2 + 4x * 2) = 8 + -4(2x + 1) 2 + (-12 + 8x) = 8 + -4(2x + 1) Combine like terms: 2 + -12 = -10 -10 + 8x = 8 + -4(2x + 1) Reorder the terms: -10 + 8x = 8 + -4(1 + 2x) -10 + 8x = 8 + (1 * -4 + 2x * -4) -10 + 8x = 8 + (-4 + -8x) Combine like terms: 8 + -4 = 4 -10 + 8x = 4 + -8x Solving -10 + 8x = 4 + -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. -10 + 8x + 8x = 4 + -8x + 8x Combine like terms: 8x + 8x = 16x -10 + 16x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 -10 + 16x = 4 + 0 -10 + 16x = 4 Add '10' to each side of the equation. -10 + 10 + 16x = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 16x = 4 + 10 16x = 4 + 10 Combine like terms: 4 + 10 = 14 16x = 14 Divide each side by '16'. x = 0.875 Simplifying x = 0.875
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