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Simplifying 4(x + -1) + -2(11 + -2x) = x + 4 Reorder the terms: 4(-1 + x) + -2(11 + -2x) = x + 4 (-1 * 4 + x * 4) + -2(11 + -2x) = x + 4 (-4 + 4x) + -2(11 + -2x) = x + 4 -4 + 4x + (11 * -2 + -2x * -2) = x + 4 -4 + 4x + (-22 + 4x) = x + 4 Reorder the terms: -4 + -22 + 4x + 4x = x + 4 Combine like terms: -4 + -22 = -26 -26 + 4x + 4x = x + 4 Combine like terms: 4x + 4x = 8x -26 + 8x = x + 4 Reorder the terms: -26 + 8x = 4 + x Solving -26 + 8x = 4 + 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. -26 + 8x + -1x = 4 + x + -1x Combine like terms: 8x + -1x = 7x -26 + 7x = 4 + x + -1x Combine like terms: x + -1x = 0 -26 + 7x = 4 + 0 -26 + 7x = 4 Add '26' to each side of the equation. -26 + 26 + 7x = 4 + 26 Combine like terms: -26 + 26 = 0 0 + 7x = 4 + 26 7x = 4 + 26 Combine like terms: 4 + 26 = 30 7x = 30 Divide each side by '7'. x = 4.285714286 Simplifying x = 4.285714286
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