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Simplifying 3x + -7(2x + 3) = 7 + -15x Reorder the terms: 3x + -7(3 + 2x) = 7 + -15x 3x + (3 * -7 + 2x * -7) = 7 + -15x 3x + (-21 + -14x) = 7 + -15x Reorder the terms: -21 + 3x + -14x = 7 + -15x Combine like terms: 3x + -14x = -11x -21 + -11x = 7 + -15x Solving -21 + -11x = 7 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -21 + -11x + 15x = 7 + -15x + 15x Combine like terms: -11x + 15x = 4x -21 + 4x = 7 + -15x + 15x Combine like terms: -15x + 15x = 0 -21 + 4x = 7 + 0 -21 + 4x = 7 Add '21' to each side of the equation. -21 + 21 + 4x = 7 + 21 Combine like terms: -21 + 21 = 0 0 + 4x = 7 + 21 4x = 7 + 21 Combine like terms: 7 + 21 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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