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Simplifying 7(x + -4) = -5(x + 1) + 40 Reorder the terms: 7(-4 + x) = -5(x + 1) + 40 (-4 * 7 + x * 7) = -5(x + 1) + 40 (-28 + 7x) = -5(x + 1) + 40 Reorder the terms: -28 + 7x = -5(1 + x) + 40 -28 + 7x = (1 * -5 + x * -5) + 40 -28 + 7x = (-5 + -5x) + 40 Reorder the terms: -28 + 7x = -5 + 40 + -5x Combine like terms: -5 + 40 = 35 -28 + 7x = 35 + -5x Solving -28 + 7x = 35 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -28 + 7x + 5x = 35 + -5x + 5x Combine like terms: 7x + 5x = 12x -28 + 12x = 35 + -5x + 5x Combine like terms: -5x + 5x = 0 -28 + 12x = 35 + 0 -28 + 12x = 35 Add '28' to each side of the equation. -28 + 28 + 12x = 35 + 28 Combine like terms: -28 + 28 = 0 0 + 12x = 35 + 28 12x = 35 + 28 Combine like terms: 35 + 28 = 63 12x = 63 Divide each side by '12'. x = 5.25 Simplifying x = 5.25
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