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Simplifying -57(x + 71) = -33(x + 15) Reorder the terms: -57(71 + x) = -33(x + 15) (71 * -57 + x * -57) = -33(x + 15) (-4047 + -57x) = -33(x + 15) Reorder the terms: -4047 + -57x = -33(15 + x) -4047 + -57x = (15 * -33 + x * -33) -4047 + -57x = (-495 + -33x) Solving -4047 + -57x = -495 + -33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33x' to each side of the equation. -4047 + -57x + 33x = -495 + -33x + 33x Combine like terms: -57x + 33x = -24x -4047 + -24x = -495 + -33x + 33x Combine like terms: -33x + 33x = 0 -4047 + -24x = -495 + 0 -4047 + -24x = -495 Add '4047' to each side of the equation. -4047 + 4047 + -24x = -495 + 4047 Combine like terms: -4047 + 4047 = 0 0 + -24x = -495 + 4047 -24x = -495 + 4047 Combine like terms: -495 + 4047 = 3552 -24x = 3552 Divide each side by '-24'. x = -148 Simplifying x = -148
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