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Simplifying 7x + -4(x + -1) = 6x + 22 + -2x Reorder the terms: 7x + -4(-1 + x) = 6x + 22 + -2x 7x + (-1 * -4 + x * -4) = 6x + 22 + -2x 7x + (4 + -4x) = 6x + 22 + -2x Reorder the terms: 4 + 7x + -4x = 6x + 22 + -2x Combine like terms: 7x + -4x = 3x 4 + 3x = 6x + 22 + -2x Reorder the terms: 4 + 3x = 22 + 6x + -2x Combine like terms: 6x + -2x = 4x 4 + 3x = 22 + 4x Solving 4 + 3x = 22 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 4 + 3x + -4x = 22 + 4x + -4x Combine like terms: 3x + -4x = -1x 4 + -1x = 22 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -1x = 22 + 0 4 + -1x = 22 Add '-4' to each side of the equation. 4 + -4 + -1x = 22 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 22 + -4 -1x = 22 + -4 Combine like terms: 22 + -4 = 18 -1x = 18 Divide each side by '-1'. x = -18 Simplifying x = -18
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