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Simplifying 4 + 2(3x + -6) = 5 + -4(2x + 1) Reorder the terms: 4 + 2(-6 + 3x) = 5 + -4(2x + 1) 4 + (-6 * 2 + 3x * 2) = 5 + -4(2x + 1) 4 + (-12 + 6x) = 5 + -4(2x + 1) Combine like terms: 4 + -12 = -8 -8 + 6x = 5 + -4(2x + 1) Reorder the terms: -8 + 6x = 5 + -4(1 + 2x) -8 + 6x = 5 + (1 * -4 + 2x * -4) -8 + 6x = 5 + (-4 + -8x) Combine like terms: 5 + -4 = 1 -8 + 6x = 1 + -8x Solving -8 + 6x = 1 + -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 + 6x + 8x = 1 + -8x + 8x Combine like terms: 6x + 8x = 14x -8 + 14x = 1 + -8x + 8x Combine like terms: -8x + 8x = 0 -8 + 14x = 1 + 0 -8 + 14x = 1 Add '8' to each side of the equation. -8 + 8 + 14x = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 14x = 1 + 8 14x = 1 + 8 Combine like terms: 1 + 8 = 9 14x = 9 Divide each side by '14'. x = 0.6428571429 Simplifying x = 0.6428571429
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