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Simplifying -4(1 + 7x) + 6x = x + -4 (1 * -4 + 7x * -4) + 6x = x + -4 (-4 + -28x) + 6x = x + -4 Combine like terms: -28x + 6x = -22x -4 + -22x = x + -4 Reorder the terms: -4 + -22x = -4 + x Add '4' to each side of the equation. -4 + 4 + -22x = -4 + 4 + x Combine like terms: -4 + 4 = 0 0 + -22x = -4 + 4 + x -22x = -4 + 4 + x Combine like terms: -4 + 4 = 0 -22x = 0 + x -22x = x Solving -22x = 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. -22x + -1x = x + -1x Combine like terms: -22x + -1x = -23x -23x = x + -1x Combine like terms: x + -1x = 0 -23x = 0 Divide each side by '-23'. x = 0 Simplifying x = 0
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