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Simplifying 5 + -1(4x + -5) = 23 + -1(12x + -16) Reorder the terms: 5 + -1(-5 + 4x) = 23 + -1(12x + -16) 5 + (-5 * -1 + 4x * -1) = 23 + -1(12x + -16) 5 + (5 + -4x) = 23 + -1(12x + -16) Combine like terms: 5 + 5 = 10 10 + -4x = 23 + -1(12x + -16) Reorder the terms: 10 + -4x = 23 + -1(-16 + 12x) 10 + -4x = 23 + (-16 * -1 + 12x * -1) 10 + -4x = 23 + (16 + -12x) Combine like terms: 23 + 16 = 39 10 + -4x = 39 + -12x Solving 10 + -4x = 39 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 10 + -4x + 12x = 39 + -12x + 12x Combine like terms: -4x + 12x = 8x 10 + 8x = 39 + -12x + 12x Combine like terms: -12x + 12x = 0 10 + 8x = 39 + 0 10 + 8x = 39 Add '-10' to each side of the equation. 10 + -10 + 8x = 39 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = 39 + -10 8x = 39 + -10 Combine like terms: 39 + -10 = 29 8x = 29 Divide each side by '8'. x = 3.625 Simplifying x = 3.625
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