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Simplifying 2x + -7 = -3(x + -9) + 1 Reorder the terms: -7 + 2x = -3(x + -9) + 1 Reorder the terms: -7 + 2x = -3(-9 + x) + 1 -7 + 2x = (-9 * -3 + x * -3) + 1 -7 + 2x = (27 + -3x) + 1 Reorder the terms: -7 + 2x = 27 + 1 + -3x Combine like terms: 27 + 1 = 28 -7 + 2x = 28 + -3x Solving -7 + 2x = 28 + -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. -7 + 2x + 3x = 28 + -3x + 3x Combine like terms: 2x + 3x = 5x -7 + 5x = 28 + -3x + 3x Combine like terms: -3x + 3x = 0 -7 + 5x = 28 + 0 -7 + 5x = 28 Add '7' to each side of the equation. -7 + 7 + 5x = 28 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 28 + 7 5x = 28 + 7 Combine like terms: 28 + 7 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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