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Simplifying 8(2x + -2) = 7(3x + 2) Reorder the terms: 8(-2 + 2x) = 7(3x + 2) (-2 * 8 + 2x * 8) = 7(3x + 2) (-16 + 16x) = 7(3x + 2) Reorder the terms: -16 + 16x = 7(2 + 3x) -16 + 16x = (2 * 7 + 3x * 7) -16 + 16x = (14 + 21x) Solving -16 + 16x = 14 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. -16 + 16x + -21x = 14 + 21x + -21x Combine like terms: 16x + -21x = -5x -16 + -5x = 14 + 21x + -21x Combine like terms: 21x + -21x = 0 -16 + -5x = 14 + 0 -16 + -5x = 14 Add '16' to each side of the equation. -16 + 16 + -5x = 14 + 16 Combine like terms: -16 + 16 = 0 0 + -5x = 14 + 16 -5x = 14 + 16 Combine like terms: 14 + 16 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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