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Simplifying 4(7 + -4x) + -2 = -6(3x + -7) (7 * 4 + -4x * 4) + -2 = -6(3x + -7) (28 + -16x) + -2 = -6(3x + -7) Reorder the terms: 28 + -2 + -16x = -6(3x + -7) Combine like terms: 28 + -2 = 26 26 + -16x = -6(3x + -7) Reorder the terms: 26 + -16x = -6(-7 + 3x) 26 + -16x = (-7 * -6 + 3x * -6) 26 + -16x = (42 + -18x) Solving 26 + -16x = 42 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. 26 + -16x + 18x = 42 + -18x + 18x Combine like terms: -16x + 18x = 2x 26 + 2x = 42 + -18x + 18x Combine like terms: -18x + 18x = 0 26 + 2x = 42 + 0 26 + 2x = 42 Add '-26' to each side of the equation. 26 + -26 + 2x = 42 + -26 Combine like terms: 26 + -26 = 0 0 + 2x = 42 + -26 2x = 42 + -26 Combine like terms: 42 + -26 = 16 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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