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Simplifying 2(x + -8) = 3(2x + 7) Reorder the terms: 2(-8 + x) = 3(2x + 7) (-8 * 2 + x * 2) = 3(2x + 7) (-16 + 2x) = 3(2x + 7) Reorder the terms: -16 + 2x = 3(7 + 2x) -16 + 2x = (7 * 3 + 2x * 3) -16 + 2x = (21 + 6x) Solving -16 + 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. -16 + 2x + -6x = 21 + 6x + -6x Combine like terms: 2x + -6x = -4x -16 + -4x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 -16 + -4x = 21 + 0 -16 + -4x = 21 Add '16' to each side of the equation. -16 + 16 + -4x = 21 + 16 Combine like terms: -16 + 16 = 0 0 + -4x = 21 + 16 -4x = 21 + 16 Combine like terms: 21 + 16 = 37 -4x = 37 Divide each side by '-4'. x = -9.25 Simplifying x = -9.25
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