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Simplifying 2(x + -3) + -32 = 7 + -7x Reorder the terms: 2(-3 + x) + -32 = 7 + -7x (-3 * 2 + x * 2) + -32 = 7 + -7x (-6 + 2x) + -32 = 7 + -7x Reorder the terms: -6 + -32 + 2x = 7 + -7x Combine like terms: -6 + -32 = -38 -38 + 2x = 7 + -7x Solving -38 + 2x = 7 + -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. -38 + 2x + 7x = 7 + -7x + 7x Combine like terms: 2x + 7x = 9x -38 + 9x = 7 + -7x + 7x Combine like terms: -7x + 7x = 0 -38 + 9x = 7 + 0 -38 + 9x = 7 Add '38' to each side of the equation. -38 + 38 + 9x = 7 + 38 Combine like terms: -38 + 38 = 0 0 + 9x = 7 + 38 9x = 7 + 38 Combine like terms: 7 + 38 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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