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Simplifying 4(2x + -2) + (1 + -1x) = 9 + x Reorder the terms: 4(-2 + 2x) + (1 + -1x) = 9 + x (-2 * 4 + 2x * 4) + (1 + -1x) = 9 + x (-8 + 8x) + (1 + -1x) = 9 + x Remove parenthesis around (1 + -1x) -8 + 8x + 1 + -1x = 9 + x Reorder the terms: -8 + 1 + 8x + -1x = 9 + x Combine like terms: -8 + 1 = -7 -7 + 8x + -1x = 9 + x Combine like terms: 8x + -1x = 7x -7 + 7x = 9 + x Solving -7 + 7x = 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. -7 + 7x + -1x = 9 + x + -1x Combine like terms: 7x + -1x = 6x -7 + 6x = 9 + x + -1x Combine like terms: x + -1x = 0 -7 + 6x = 9 + 0 -7 + 6x = 9 Add '7' to each side of the equation. -7 + 7 + 6x = 9 + 7 Combine like terms: -7 + 7 = 0 0 + 6x = 9 + 7 6x = 9 + 7 Combine like terms: 9 + 7 = 16 6x = 16 Divide each side by '6'. x = 2.666666667 Simplifying x = 2.666666667
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