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Simplifying 3(x + 2) + -5 = 7(x + -5) Reorder the terms: 3(2 + x) + -5 = 7(x + -5) (2 * 3 + x * 3) + -5 = 7(x + -5) (6 + 3x) + -5 = 7(x + -5) Reorder the terms: 6 + -5 + 3x = 7(x + -5) Combine like terms: 6 + -5 = 1 1 + 3x = 7(x + -5) Reorder the terms: 1 + 3x = 7(-5 + x) 1 + 3x = (-5 * 7 + x * 7) 1 + 3x = (-35 + 7x) Solving 1 + 3x = -35 + 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. 1 + 3x + -7x = -35 + 7x + -7x Combine like terms: 3x + -7x = -4x 1 + -4x = -35 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + -4x = -35 + 0 1 + -4x = -35 Add '-1' to each side of the equation. 1 + -1 + -4x = -35 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = -35 + -1 -4x = -35 + -1 Combine like terms: -35 + -1 = -36 -4x = -36 Divide each side by '-4'. x = 9 Simplifying x = 9
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