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Simplifying (7 + x)(-4) = 3(5 + -2x) Reorder the terms for easier multiplication: -4(7 + x) = 3(5 + -2x) (7 * -4 + x * -4) = 3(5 + -2x) (-28 + -4x) = 3(5 + -2x) -28 + -4x = (5 * 3 + -2x * 3) -28 + -4x = (15 + -6x) Solving -28 + -4x = 15 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -28 + -4x + 6x = 15 + -6x + 6x Combine like terms: -4x + 6x = 2x -28 + 2x = 15 + -6x + 6x Combine like terms: -6x + 6x = 0 -28 + 2x = 15 + 0 -28 + 2x = 15 Add '28' to each side of the equation. -28 + 28 + 2x = 15 + 28 Combine like terms: -28 + 28 = 0 0 + 2x = 15 + 28 2x = 15 + 28 Combine like terms: 15 + 28 = 43 2x = 43 Divide each side by '2'. x = 21.5 Simplifying x = 21.5
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