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Simplifying 7(2x + -3) = 3x + 28 + 4x Reorder the terms: 7(-3 + 2x) = 3x + 28 + 4x (-3 * 7 + 2x * 7) = 3x + 28 + 4x (-21 + 14x) = 3x + 28 + 4x Reorder the terms: -21 + 14x = 28 + 3x + 4x Combine like terms: 3x + 4x = 7x -21 + 14x = 28 + 7x Solving -21 + 14x = 28 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -21 + 14x + -7x = 28 + 7x + -7x Combine like terms: 14x + -7x = 7x -21 + 7x = 28 + 7x + -7x Combine like terms: 7x + -7x = 0 -21 + 7x = 28 + 0 -21 + 7x = 28 Add '21' to each side of the equation. -21 + 21 + 7x = 28 + 21 Combine like terms: -21 + 21 = 0 0 + 7x = 28 + 21 7x = 28 + 21 Combine like terms: 28 + 21 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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