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Simplifying 7(x + -4) = 3x + 10 Reorder the terms: 7(-4 + x) = 3x + 10 (-4 * 7 + x * 7) = 3x + 10 (-28 + 7x) = 3x + 10 Reorder the terms: -28 + 7x = 10 + 3x Solving -28 + 7x = 10 + 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 = 10 + 3x + -3x Combine like terms: 7x + -3x = 4x -28 + 4x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 -28 + 4x = 10 + 0 -28 + 4x = 10 Add '28' to each side of the equation. -28 + 28 + 4x = 10 + 28 Combine like terms: -28 + 28 = 0 0 + 4x = 10 + 28 4x = 10 + 28 Combine like terms: 10 + 28 = 38 4x = 38 Divide each side by '4'. x = 9.5 Simplifying x = 9.5
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