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Simplifying 7(x + -4) + 7 = 6 + -1(x + 5) Reorder the terms: 7(-4 + x) + 7 = 6 + -1(x + 5) (-4 * 7 + x * 7) + 7 = 6 + -1(x + 5) (-28 + 7x) + 7 = 6 + -1(x + 5) Reorder the terms: -28 + 7 + 7x = 6 + -1(x + 5) Combine like terms: -28 + 7 = -21 -21 + 7x = 6 + -1(x + 5) Reorder the terms: -21 + 7x = 6 + -1(5 + x) -21 + 7x = 6 + (5 * -1 + x * -1) -21 + 7x = 6 + (-5 + -1x) Combine like terms: 6 + -5 = 1 -21 + 7x = 1 + -1x Solving -21 + 7x = 1 + -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. -21 + 7x + x = 1 + -1x + x Combine like terms: 7x + x = 8x -21 + 8x = 1 + -1x + x Combine like terms: -1x + x = 0 -21 + 8x = 1 + 0 -21 + 8x = 1 Add '21' to each side of the equation. -21 + 21 + 8x = 1 + 21 Combine like terms: -21 + 21 = 0 0 + 8x = 1 + 21 8x = 1 + 21 Combine like terms: 1 + 21 = 22 8x = 22 Divide each side by '8'. x = 2.75 Simplifying x = 2.75
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