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Simplifying 34(37 + -45x) = 13(4x + -7) + 37.0 (37 * 34 + -45x * 34) = 13(4x + -7) + 37.0 (1258 + -1530x) = 13(4x + -7) + 37.0 Reorder the terms: 1258 + -1530x = 13(-7 + 4x) + 37.0 1258 + -1530x = (-7 * 13 + 4x * 13) + 37.0 1258 + -1530x = (-91 + 52x) + 37.0 Reorder the terms: 1258 + -1530x = -91 + 37.0 + 52x Combine like terms: -91 + 37.0 = -54 1258 + -1530x = -54 + 52x Solving 1258 + -1530x = -54 + 52x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52x' to each side of the equation. 1258 + -1530x + -52x = -54 + 52x + -52x Combine like terms: -1530x + -52x = -1582x 1258 + -1582x = -54 + 52x + -52x Combine like terms: 52x + -52x = 0 1258 + -1582x = -54 + 0 1258 + -1582x = -54 Add '-1258' to each side of the equation. 1258 + -1258 + -1582x = -54 + -1258 Combine like terms: 1258 + -1258 = 0 0 + -1582x = -54 + -1258 -1582x = -54 + -1258 Combine like terms: -54 + -1258 = -1312 -1582x = -1312 Divide each side by '-1582'. x = 0.8293299621 Simplifying x = 0.8293299621
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