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Simplifying 2(3x + -7) = 4x + 2(-1x + -7) Reorder the terms: 2(-7 + 3x) = 4x + 2(-1x + -7) (-7 * 2 + 3x * 2) = 4x + 2(-1x + -7) (-14 + 6x) = 4x + 2(-1x + -7) Reorder the terms: -14 + 6x = 4x + 2(-7 + -1x) -14 + 6x = 4x + (-7 * 2 + -1x * 2) -14 + 6x = 4x + (-14 + -2x) Reorder the terms: -14 + 6x = -14 + 4x + -2x Combine like terms: 4x + -2x = 2x -14 + 6x = -14 + 2x Add '14' to each side of the equation. -14 + 14 + 6x = -14 + 14 + 2x Combine like terms: -14 + 14 = 0 0 + 6x = -14 + 14 + 2x 6x = -14 + 14 + 2x Combine like terms: -14 + 14 = 0 6x = 0 + 2x 6x = 2x Solving 6x = 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. 6x + -2x = 2x + -2x Combine like terms: 6x + -2x = 4x 4x = 2x + -2x Combine like terms: 2x + -2x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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