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Simplifying 7(x + -4) + -5x = -3(x + 1) Reorder the terms: 7(-4 + x) + -5x = -3(x + 1) (-4 * 7 + x * 7) + -5x = -3(x + 1) (-28 + 7x) + -5x = -3(x + 1) Combine like terms: 7x + -5x = 2x -28 + 2x = -3(x + 1) Reorder the terms: -28 + 2x = -3(1 + x) -28 + 2x = (1 * -3 + x * -3) -28 + 2x = (-3 + -3x) Solving -28 + 2x = -3 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -28 + 2x + 3x = -3 + -3x + 3x Combine like terms: 2x + 3x = 5x -28 + 5x = -3 + -3x + 3x Combine like terms: -3x + 3x = 0 -28 + 5x = -3 + 0 -28 + 5x = -3 Add '28' to each side of the equation. -28 + 28 + 5x = -3 + 28 Combine like terms: -28 + 28 = 0 0 + 5x = -3 + 28 5x = -3 + 28 Combine like terms: -3 + 28 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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