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Simplifying (29 + -15x) + (44 + -5x) = (53 + -24x) Remove parenthesis around (29 + -15x) 29 + -15x + (44 + -5x) = (53 + -24x) Remove parenthesis around (44 + -5x) 29 + -15x + 44 + -5x = (53 + -24x) Reorder the terms: 29 + 44 + -15x + -5x = (53 + -24x) Combine like terms: 29 + 44 = 73 73 + -15x + -5x = (53 + -24x) Combine like terms: -15x + -5x = -20x 73 + -20x = (53 + -24x) Remove parenthesis around (53 + -24x) 73 + -20x = 53 + -24x Solving 73 + -20x = 53 + -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. 73 + -20x + 24x = 53 + -24x + 24x Combine like terms: -20x + 24x = 4x 73 + 4x = 53 + -24x + 24x Combine like terms: -24x + 24x = 0 73 + 4x = 53 + 0 73 + 4x = 53 Add '-73' to each side of the equation. 73 + -73 + 4x = 53 + -73 Combine like terms: 73 + -73 = 0 0 + 4x = 53 + -73 4x = 53 + -73 Combine like terms: 53 + -73 = -20 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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