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Simplifying 2(x + -7) = 4(2x + 3) Reorder the terms: 2(-7 + x) = 4(2x + 3) (-7 * 2 + x * 2) = 4(2x + 3) (-14 + 2x) = 4(2x + 3) Reorder the terms: -14 + 2x = 4(3 + 2x) -14 + 2x = (3 * 4 + 2x * 4) -14 + 2x = (12 + 8x) Solving -14 + 2x = 12 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -14 + 2x + -8x = 12 + 8x + -8x Combine like terms: 2x + -8x = -6x -14 + -6x = 12 + 8x + -8x Combine like terms: 8x + -8x = 0 -14 + -6x = 12 + 0 -14 + -6x = 12 Add '14' to each side of the equation. -14 + 14 + -6x = 12 + 14 Combine like terms: -14 + 14 = 0 0 + -6x = 12 + 14 -6x = 12 + 14 Combine like terms: 12 + 14 = 26 -6x = 26 Divide each side by '-6'. x = -4.333333333 Simplifying x = -4.333333333
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