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Simplifying 2(3x + -1) + 4 = -4(2x + -3) Reorder the terms: 2(-1 + 3x) + 4 = -4(2x + -3) (-1 * 2 + 3x * 2) + 4 = -4(2x + -3) (-2 + 6x) + 4 = -4(2x + -3) Reorder the terms: -2 + 4 + 6x = -4(2x + -3) Combine like terms: -2 + 4 = 2 2 + 6x = -4(2x + -3) Reorder the terms: 2 + 6x = -4(-3 + 2x) 2 + 6x = (-3 * -4 + 2x * -4) 2 + 6x = (12 + -8x) Solving 2 + 6x = 12 + -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 = 12 + -8x + 8x Combine like terms: 6x + 8x = 14x 2 + 14x = 12 + -8x + 8x Combine like terms: -8x + 8x = 0 2 + 14x = 12 + 0 2 + 14x = 12 Add '-2' to each side of the equation. 2 + -2 + 14x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 14x = 12 + -2 14x = 12 + -2 Combine like terms: 12 + -2 = 10 14x = 10 Divide each side by '14'. x = 0.7142857143 Simplifying x = 0.7142857143
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