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Simplifying 48x + -17x + -29 = 24x + -99 + 42 Reorder the terms: -29 + 48x + -17x = 24x + -99 + 42 Combine like terms: 48x + -17x = 31x -29 + 31x = 24x + -99 + 42 Reorder the terms: -29 + 31x = -99 + 42 + 24x Combine like terms: -99 + 42 = -57 -29 + 31x = -57 + 24x Solving -29 + 31x = -57 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -29 + 31x + -24x = -57 + 24x + -24x Combine like terms: 31x + -24x = 7x -29 + 7x = -57 + 24x + -24x Combine like terms: 24x + -24x = 0 -29 + 7x = -57 + 0 -29 + 7x = -57 Add '29' to each side of the equation. -29 + 29 + 7x = -57 + 29 Combine like terms: -29 + 29 = 0 0 + 7x = -57 + 29 7x = -57 + 29 Combine like terms: -57 + 29 = -28 7x = -28 Divide each side by '7'. x = -4 Simplifying x = -4
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