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Simplifying 7x + -4 = -1(x + -4) Reorder the terms: -4 + 7x = -1(x + -4) Reorder the terms: -4 + 7x = -1(-4 + x) -4 + 7x = (-4 * -1 + x * -1) -4 + 7x = (4 + -1x) Solving -4 + 7x = 4 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -4 + 7x + x = 4 + -1x + x Combine like terms: 7x + x = 8x -4 + 8x = 4 + -1x + x Combine like terms: -1x + x = 0 -4 + 8x = 4 + 0 -4 + 8x = 4 Add '4' to each side of the equation. -4 + 4 + 8x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 8x = 4 + 4 8x = 4 + 4 Combine like terms: 4 + 4 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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