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Simplifying 57 = 2(4x + -5) + 2(3) Reorder the terms: 57 = 2(-5 + 4x) + 2(3) 57 = (-5 * 2 + 4x * 2) + 2(3) 57 = (-10 + 8x) + 2(3) Multiply 2 * 3 57 = -10 + 8x + 6 Reorder the terms: 57 = -10 + 6 + 8x Combine like terms: -10 + 6 = -4 57 = -4 + 8x Solving 57 = -4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 57 + -8x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 57 + -8x = -4 + 0 57 + -8x = -4 Add '-57' to each side of the equation. 57 + -57 + -8x = -4 + -57 Combine like terms: 57 + -57 = 0 0 + -8x = -4 + -57 -8x = -4 + -57 Combine like terms: -4 + -57 = -61 -8x = -61 Divide each side by '-8'. x = 7.625 Simplifying x = 7.625
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