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Simplifying 2x + 3(x + -2) = 7x + -34 Reorder the terms: 2x + 3(-2 + x) = 7x + -34 2x + (-2 * 3 + x * 3) = 7x + -34 2x + (-6 + 3x) = 7x + -34 Reorder the terms: -6 + 2x + 3x = 7x + -34 Combine like terms: 2x + 3x = 5x -6 + 5x = 7x + -34 Reorder the terms: -6 + 5x = -34 + 7x Solving -6 + 5x = -34 + 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. -6 + 5x + -7x = -34 + 7x + -7x Combine like terms: 5x + -7x = -2x -6 + -2x = -34 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -2x = -34 + 0 -6 + -2x = -34 Add '6' to each side of the equation. -6 + 6 + -2x = -34 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = -34 + 6 -2x = -34 + 6 Combine like terms: -34 + 6 = -28 -2x = -28 Divide each side by '-2'. x = 14 Simplifying x = 14
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