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Simplifying 4(2x + -2) + 2(1 + -1x) = 9 + x Reorder the terms: 4(-2 + 2x) + 2(1 + -1x) = 9 + x (-2 * 4 + 2x * 4) + 2(1 + -1x) = 9 + x (-8 + 8x) + 2(1 + -1x) = 9 + x -8 + 8x + (1 * 2 + -1x * 2) = 9 + x -8 + 8x + (2 + -2x) = 9 + x Reorder the terms: -8 + 2 + 8x + -2x = 9 + x Combine like terms: -8 + 2 = -6 -6 + 8x + -2x = 9 + x Combine like terms: 8x + -2x = 6x -6 + 6x = 9 + x Solving -6 + 6x = 9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + 6x + -1x = 9 + x + -1x Combine like terms: 6x + -1x = 5x -6 + 5x = 9 + x + -1x Combine like terms: x + -1x = 0 -6 + 5x = 9 + 0 -6 + 5x = 9 Add '6' to each side of the equation. -6 + 6 + 5x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 9 + 6 5x = 9 + 6 Combine like terms: 9 + 6 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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