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Simplifying 7(x + -4) = x + -4(x + 1) Reorder the terms: 7(-4 + x) = x + -4(x + 1) (-4 * 7 + x * 7) = x + -4(x + 1) (-28 + 7x) = x + -4(x + 1) Reorder the terms: -28 + 7x = x + -4(1 + x) -28 + 7x = x + (1 * -4 + x * -4) -28 + 7x = x + (-4 + -4x) Reorder the terms: -28 + 7x = -4 + x + -4x Combine like terms: x + -4x = -3x -28 + 7x = -4 + -3x Solving -28 + 7x = -4 + -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 + 7x + 3x = -4 + -3x + 3x Combine like terms: 7x + 3x = 10x -28 + 10x = -4 + -3x + 3x Combine like terms: -3x + 3x = 0 -28 + 10x = -4 + 0 -28 + 10x = -4 Add '28' to each side of the equation. -28 + 28 + 10x = -4 + 28 Combine like terms: -28 + 28 = 0 0 + 10x = -4 + 28 10x = -4 + 28 Combine like terms: -4 + 28 = 24 10x = 24 Divide each side by '10'. x = 2.4 Simplifying x = 2.4
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