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Simplifying 565 + -283 = 47(x + -1) Combine like terms: 565 + -283 = 282 282 = 47(x + -1) Reorder the terms: 282 = 47(-1 + x) 282 = (-1 * 47 + x * 47) 282 = (-47 + 47x) Solving 282 = -47 + 47x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47x' to each side of the equation. 282 + -47x = -47 + 47x + -47x Combine like terms: 47x + -47x = 0 282 + -47x = -47 + 0 282 + -47x = -47 Add '-282' to each side of the equation. 282 + -282 + -47x = -47 + -282 Combine like terms: 282 + -282 = 0 0 + -47x = -47 + -282 -47x = -47 + -282 Combine like terms: -47 + -282 = -329 -47x = -329 Divide each side by '-47'. x = 7 Simplifying x = 7
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