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Simplifying 6 + 2(3x + -4) = 5 + -4(2x + 1) Reorder the terms: 6 + 2(-4 + 3x) = 5 + -4(2x + 1) 6 + (-4 * 2 + 3x * 2) = 5 + -4(2x + 1) 6 + (-8 + 6x) = 5 + -4(2x + 1) Combine like terms: 6 + -8 = -2 -2 + 6x = 5 + -4(2x + 1) Reorder the terms: -2 + 6x = 5 + -4(1 + 2x) -2 + 6x = 5 + (1 * -4 + 2x * -4) -2 + 6x = 5 + (-4 + -8x) Combine like terms: 5 + -4 = 1 -2 + 6x = 1 + -8x Solving -2 + 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. -2 + 6x + 8x = 1 + -8x + 8x Combine like terms: 6x + 8x = 14x -2 + 14x = 1 + -8x + 8x Combine like terms: -8x + 8x = 0 -2 + 14x = 1 + 0 -2 + 14x = 1 Add '2' to each side of the equation. -2 + 2 + 14x = 1 + 2 Combine like terms: -2 + 2 = 0 0 + 14x = 1 + 2 14x = 1 + 2 Combine like terms: 1 + 2 = 3 14x = 3 Divide each side by '14'. x = 0.2142857143 Simplifying x = 0.2142857143
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