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Simplifying 2(4x + 3) = -2(2 + 6x) + 10x Reorder the terms: 2(3 + 4x) = -2(2 + 6x) + 10x (3 * 2 + 4x * 2) = -2(2 + 6x) + 10x (6 + 8x) = -2(2 + 6x) + 10x 6 + 8x = (2 * -2 + 6x * -2) + 10x 6 + 8x = (-4 + -12x) + 10x Combine like terms: -12x + 10x = -2x 6 + 8x = -4 + -2x Solving 6 + 8x = -4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6 + 8x + 2x = -4 + -2x + 2x Combine like terms: 8x + 2x = 10x 6 + 10x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + 10x = -4 + 0 6 + 10x = -4 Add '-6' to each side of the equation. 6 + -6 + 10x = -4 + -6 Combine like terms: 6 + -6 = 0 0 + 10x = -4 + -6 10x = -4 + -6 Combine like terms: -4 + -6 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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