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Simplifying 7 + 2(3x + -4) = 6 + -4(2x + 1) Reorder the terms: 7 + 2(-4 + 3x) = 6 + -4(2x + 1) 7 + (-4 * 2 + 3x * 2) = 6 + -4(2x + 1) 7 + (-8 + 6x) = 6 + -4(2x + 1) Combine like terms: 7 + -8 = -1 -1 + 6x = 6 + -4(2x + 1) Reorder the terms: -1 + 6x = 6 + -4(1 + 2x) -1 + 6x = 6 + (1 * -4 + 2x * -4) -1 + 6x = 6 + (-4 + -8x) Combine like terms: 6 + -4 = 2 -1 + 6x = 2 + -8x Solving -1 + 6x = 2 + -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. -1 + 6x + 8x = 2 + -8x + 8x Combine like terms: 6x + 8x = 14x -1 + 14x = 2 + -8x + 8x Combine like terms: -8x + 8x = 0 -1 + 14x = 2 + 0 -1 + 14x = 2 Add '1' to each side of the equation. -1 + 1 + 14x = 2 + 1 Combine like terms: -1 + 1 = 0 0 + 14x = 2 + 1 14x = 2 + 1 Combine like terms: 2 + 1 = 3 14x = 3 Divide each side by '14'. x = 0.2142857143 Simplifying x = 0.2142857143
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