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Simplifying 6x + -34 = 2(x + -3) Reorder the terms: -34 + 6x = 2(x + -3) Reorder the terms: -34 + 6x = 2(-3 + x) -34 + 6x = (-3 * 2 + x * 2) -34 + 6x = (-6 + 2x) Solving -34 + 6x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -34 + 6x + -2x = -6 + 2x + -2x Combine like terms: 6x + -2x = 4x -34 + 4x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -34 + 4x = -6 + 0 -34 + 4x = -6 Add '34' to each side of the equation. -34 + 34 + 4x = -6 + 34 Combine like terms: -34 + 34 = 0 0 + 4x = -6 + 34 4x = -6 + 34 Combine like terms: -6 + 34 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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