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Simplifying 2(x + -3) = 4(2x + -7) Reorder the terms: 2(-3 + x) = 4(2x + -7) (-3 * 2 + x * 2) = 4(2x + -7) (-6 + 2x) = 4(2x + -7) Reorder the terms: -6 + 2x = 4(-7 + 2x) -6 + 2x = (-7 * 4 + 2x * 4) -6 + 2x = (-28 + 8x) Solving -6 + 2x = -28 + 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. -6 + 2x + -8x = -28 + 8x + -8x Combine like terms: 2x + -8x = -6x -6 + -6x = -28 + 8x + -8x Combine like terms: 8x + -8x = 0 -6 + -6x = -28 + 0 -6 + -6x = -28 Add '6' to each side of the equation. -6 + 6 + -6x = -28 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = -28 + 6 -6x = -28 + 6 Combine like terms: -28 + 6 = -22 -6x = -22 Divide each side by '-6'. x = 3.666666667 Simplifying x = 3.666666667
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