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Simplifying 61 = (3x + 7) + (5x + -3) Reorder the terms: 61 = (7 + 3x) + (5x + -3) Remove parenthesis around (7 + 3x) 61 = 7 + 3x + (5x + -3) Reorder the terms: 61 = 7 + 3x + (-3 + 5x) Remove parenthesis around (-3 + 5x) 61 = 7 + 3x + -3 + 5x Reorder the terms: 61 = 7 + -3 + 3x + 5x Combine like terms: 7 + -3 = 4 61 = 4 + 3x + 5x Combine like terms: 3x + 5x = 8x 61 = 4 + 8x Solving 61 = 4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 61 + -8x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 61 + -8x = 4 + 0 61 + -8x = 4 Add '-61' to each side of the equation. 61 + -61 + -8x = 4 + -61 Combine like terms: 61 + -61 = 0 0 + -8x = 4 + -61 -8x = 4 + -61 Combine like terms: 4 + -61 = -57 -8x = -57 Divide each side by '-8'. x = 7.125 Simplifying x = 7.125
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