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Simplifying 4 + 2(4x + -6) = 7 + -4(2x + 1) Reorder the terms: 4 + 2(-6 + 4x) = 7 + -4(2x + 1) 4 + (-6 * 2 + 4x * 2) = 7 + -4(2x + 1) 4 + (-12 + 8x) = 7 + -4(2x + 1) Combine like terms: 4 + -12 = -8 -8 + 8x = 7 + -4(2x + 1) Reorder the terms: -8 + 8x = 7 + -4(1 + 2x) -8 + 8x = 7 + (1 * -4 + 2x * -4) -8 + 8x = 7 + (-4 + -8x) Combine like terms: 7 + -4 = 3 -8 + 8x = 3 + -8x Solving -8 + 8x = 3 + -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. -8 + 8x + 8x = 3 + -8x + 8x Combine like terms: 8x + 8x = 16x -8 + 16x = 3 + -8x + 8x Combine like terms: -8x + 8x = 0 -8 + 16x = 3 + 0 -8 + 16x = 3 Add '8' to each side of the equation. -8 + 8 + 16x = 3 + 8 Combine like terms: -8 + 8 = 0 0 + 16x = 3 + 8 16x = 3 + 8 Combine like terms: 3 + 8 = 11 16x = 11 Divide each side by '16'. x = 0.6875 Simplifying x = 0.6875
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