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Simplifying 5x + -2(x + -7) = 2 + 4x Reorder the terms: 5x + -2(-7 + x) = 2 + 4x 5x + (-7 * -2 + x * -2) = 2 + 4x 5x + (14 + -2x) = 2 + 4x Reorder the terms: 14 + 5x + -2x = 2 + 4x Combine like terms: 5x + -2x = 3x 14 + 3x = 2 + 4x Solving 14 + 3x = 2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 14 + 3x + -4x = 2 + 4x + -4x Combine like terms: 3x + -4x = -1x 14 + -1x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + -1x = 2 + 0 14 + -1x = 2 Add '-14' to each side of the equation. 14 + -14 + -1x = 2 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 2 + -14 -1x = 2 + -14 Combine like terms: 2 + -14 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12
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