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Simplifying 47 = 5x + 2(-5x + -4) Reorder the terms: 47 = 5x + 2(-4 + -5x) 47 = 5x + (-4 * 2 + -5x * 2) 47 = 5x + (-8 + -10x) Reorder the terms: 47 = -8 + 5x + -10x Combine like terms: 5x + -10x = -5x 47 = -8 + -5x Solving 47 = -8 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 47 + 5x = -8 + -5x + 5x Combine like terms: -5x + 5x = 0 47 + 5x = -8 + 0 47 + 5x = -8 Add '-47' to each side of the equation. 47 + -47 + 5x = -8 + -47 Combine like terms: 47 + -47 = 0 0 + 5x = -8 + -47 5x = -8 + -47 Combine like terms: -8 + -47 = -55 5x = -55 Divide each side by '5'. x = -11 Simplifying x = -11
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