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Simplifying 2x + 3 = 2(4x + -7) Reorder the terms: 3 + 2x = 2(4x + -7) Reorder the terms: 3 + 2x = 2(-7 + 4x) 3 + 2x = (-7 * 2 + 4x * 2) 3 + 2x = (-14 + 8x) Solving 3 + 2x = -14 + 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. 3 + 2x + -8x = -14 + 8x + -8x Combine like terms: 2x + -8x = -6x 3 + -6x = -14 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + -6x = -14 + 0 3 + -6x = -14 Add '-3' to each side of the equation. 3 + -3 + -6x = -14 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = -14 + -3 -6x = -14 + -3 Combine like terms: -14 + -3 = -17 -6x = -17 Divide each side by '-6'. x = 2.833333333 Simplifying x = 2.833333333
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