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Simplifying 4 + 2(4x + -6) = 7 + -3(2x + 1) Reorder the terms: 4 + 2(-6 + 4x) = 7 + -3(2x + 1) 4 + (-6 * 2 + 4x * 2) = 7 + -3(2x + 1) 4 + (-12 + 8x) = 7 + -3(2x + 1) Combine like terms: 4 + -12 = -8 -8 + 8x = 7 + -3(2x + 1) Reorder the terms: -8 + 8x = 7 + -3(1 + 2x) -8 + 8x = 7 + (1 * -3 + 2x * -3) -8 + 8x = 7 + (-3 + -6x) Combine like terms: 7 + -3 = 4 -8 + 8x = 4 + -6x Solving -8 + 8x = 4 + -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. -8 + 8x + 6x = 4 + -6x + 6x Combine like terms: 8x + 6x = 14x -8 + 14x = 4 + -6x + 6x Combine like terms: -6x + 6x = 0 -8 + 14x = 4 + 0 -8 + 14x = 4 Add '8' to each side of the equation. -8 + 8 + 14x = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 14x = 4 + 8 14x = 4 + 8 Combine like terms: 4 + 8 = 12 14x = 12 Divide each side by '14'. x = 0.8571428571 Simplifying x = 0.8571428571
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