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Simplifying 4(2x + 7) + -7 = -5(1 + -2x) Reorder the terms: 4(7 + 2x) + -7 = -5(1 + -2x) (7 * 4 + 2x * 4) + -7 = -5(1 + -2x) (28 + 8x) + -7 = -5(1 + -2x) Reorder the terms: 28 + -7 + 8x = -5(1 + -2x) Combine like terms: 28 + -7 = 21 21 + 8x = -5(1 + -2x) 21 + 8x = (1 * -5 + -2x * -5) 21 + 8x = (-5 + 10x) Solving 21 + 8x = -5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 21 + 8x + -10x = -5 + 10x + -10x Combine like terms: 8x + -10x = -2x 21 + -2x = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 21 + -2x = -5 + 0 21 + -2x = -5 Add '-21' to each side of the equation. 21 + -21 + -2x = -5 + -21 Combine like terms: 21 + -21 = 0 0 + -2x = -5 + -21 -2x = -5 + -21 Combine like terms: -5 + -21 = -26 -2x = -26 Divide each side by '-2'. x = 13 Simplifying x = 13
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