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Simplifying 2(3x + -5) = 7x + -34 Reorder the terms: 2(-5 + 3x) = 7x + -34 (-5 * 2 + 3x * 2) = 7x + -34 (-10 + 6x) = 7x + -34 Reorder the terms: -10 + 6x = -34 + 7x Solving -10 + 6x = -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. -10 + 6x + -7x = -34 + 7x + -7x Combine like terms: 6x + -7x = -1x -10 + -1x = -34 + 7x + -7x Combine like terms: 7x + -7x = 0 -10 + -1x = -34 + 0 -10 + -1x = -34 Add '10' to each side of the equation. -10 + 10 + -1x = -34 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = -34 + 10 -1x = -34 + 10 Combine like terms: -34 + 10 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24
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