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Simplifying 2(x + -4) = 3(2x + 7) Reorder the terms: 2(-4 + x) = 3(2x + 7) (-4 * 2 + x * 2) = 3(2x + 7) (-8 + 2x) = 3(2x + 7) Reorder the terms: -8 + 2x = 3(7 + 2x) -8 + 2x = (7 * 3 + 2x * 3) -8 + 2x = (21 + 6x) Solving -8 + 2x = 21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + 2x + -6x = 21 + 6x + -6x Combine like terms: 2x + -6x = -4x -8 + -4x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -4x = 21 + 0 -8 + -4x = 21 Add '8' to each side of the equation. -8 + 8 + -4x = 21 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = 21 + 8 -4x = 21 + 8 Combine like terms: 21 + 8 = 29 -4x = 29 Divide each side by '-4'. x = -7.25 Simplifying x = -7.25
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