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Simplifying -46x + 48 + -22x = -11(x + 49) Reorder the terms: 48 + -46x + -22x = -11(x + 49) Combine like terms: -46x + -22x = -68x 48 + -68x = -11(x + 49) Reorder the terms: 48 + -68x = -11(49 + x) 48 + -68x = (49 * -11 + x * -11) 48 + -68x = (-539 + -11x) Solving 48 + -68x = -539 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 48 + -68x + 11x = -539 + -11x + 11x Combine like terms: -68x + 11x = -57x 48 + -57x = -539 + -11x + 11x Combine like terms: -11x + 11x = 0 48 + -57x = -539 + 0 48 + -57x = -539 Add '-48' to each side of the equation. 48 + -48 + -57x = -539 + -48 Combine like terms: 48 + -48 = 0 0 + -57x = -539 + -48 -57x = -539 + -48 Combine like terms: -539 + -48 = -587 -57x = -587 Divide each side by '-57'. x = 10.29824561 Simplifying x = 10.29824561
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