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Simplifying 1 + 2(2x + -4) = -2(8x + -4) + 2x Reorder the terms: 1 + 2(-4 + 2x) = -2(8x + -4) + 2x 1 + (-4 * 2 + 2x * 2) = -2(8x + -4) + 2x 1 + (-8 + 4x) = -2(8x + -4) + 2x Combine like terms: 1 + -8 = -7 -7 + 4x = -2(8x + -4) + 2x Reorder the terms: -7 + 4x = -2(-4 + 8x) + 2x -7 + 4x = (-4 * -2 + 8x * -2) + 2x -7 + 4x = (8 + -16x) + 2x Combine like terms: -16x + 2x = -14x -7 + 4x = 8 + -14x Solving -7 + 4x = 8 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -7 + 4x + 14x = 8 + -14x + 14x Combine like terms: 4x + 14x = 18x -7 + 18x = 8 + -14x + 14x Combine like terms: -14x + 14x = 0 -7 + 18x = 8 + 0 -7 + 18x = 8 Add '7' to each side of the equation. -7 + 7 + 18x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 18x = 8 + 7 18x = 8 + 7 Combine like terms: 8 + 7 = 15 18x = 15 Divide each side by '18'. x = 0.8333333333 Simplifying x = 0.8333333333
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