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Simplifying 2x + -3 = -7(x + -5) + -2 Reorder the terms: -3 + 2x = -7(x + -5) + -2 Reorder the terms: -3 + 2x = -7(-5 + x) + -2 -3 + 2x = (-5 * -7 + x * -7) + -2 -3 + 2x = (35 + -7x) + -2 Reorder the terms: -3 + 2x = 35 + -2 + -7x Combine like terms: 35 + -2 = 33 -3 + 2x = 33 + -7x Solving -3 + 2x = 33 + -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. -3 + 2x + 7x = 33 + -7x + 7x Combine like terms: 2x + 7x = 9x -3 + 9x = 33 + -7x + 7x Combine like terms: -7x + 7x = 0 -3 + 9x = 33 + 0 -3 + 9x = 33 Add '3' to each side of the equation. -3 + 3 + 9x = 33 + 3 Combine like terms: -3 + 3 = 0 0 + 9x = 33 + 3 9x = 33 + 3 Combine like terms: 33 + 3 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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