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Simplifying -5(4x + -4) + 6x = 7x + -2 Reorder the terms: -5(-4 + 4x) + 6x = 7x + -2 (-4 * -5 + 4x * -5) + 6x = 7x + -2 (20 + -20x) + 6x = 7x + -2 Combine like terms: -20x + 6x = -14x 20 + -14x = 7x + -2 Reorder the terms: 20 + -14x = -2 + 7x Solving 20 + -14x = -2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 20 + -14x + -7x = -2 + 7x + -7x Combine like terms: -14x + -7x = -21x 20 + -21x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 20 + -21x = -2 + 0 20 + -21x = -2 Add '-20' to each side of the equation. 20 + -20 + -21x = -2 + -20 Combine like terms: 20 + -20 = 0 0 + -21x = -2 + -20 -21x = -2 + -20 Combine like terms: -2 + -20 = -22 -21x = -22 Divide each side by '-21'. x = 1.047619048 Simplifying x = 1.047619048
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