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Simplifying 4 + 2(2x + -1) = -2(8x + -3) + 6x Reorder the terms: 4 + 2(-1 + 2x) = -2(8x + -3) + 6x 4 + (-1 * 2 + 2x * 2) = -2(8x + -3) + 6x 4 + (-2 + 4x) = -2(8x + -3) + 6x Combine like terms: 4 + -2 = 2 2 + 4x = -2(8x + -3) + 6x Reorder the terms: 2 + 4x = -2(-3 + 8x) + 6x 2 + 4x = (-3 * -2 + 8x * -2) + 6x 2 + 4x = (6 + -16x) + 6x Combine like terms: -16x + 6x = -10x 2 + 4x = 6 + -10x Solving 2 + 4x = 6 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 2 + 4x + 10x = 6 + -10x + 10x Combine like terms: 4x + 10x = 14x 2 + 14x = 6 + -10x + 10x Combine like terms: -10x + 10x = 0 2 + 14x = 6 + 0 2 + 14x = 6 Add '-2' to each side of the equation. 2 + -2 + 14x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 14x = 6 + -2 14x = 6 + -2 Combine like terms: 6 + -2 = 4 14x = 4 Divide each side by '14'. x = 0.2857142857 Simplifying x = 0.2857142857
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