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