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Simplifying 34(37 + -4.5x) = 13(4x + -7) + 37 (37 * 34 + -4.5x * 34) = 13(4x + -7) + 37 (1258 + -153x) = 13(4x + -7) + 37 Reorder the terms: 1258 + -153x = 13(-7 + 4x) + 37 1258 + -153x = (-7 * 13 + 4x * 13) + 37 1258 + -153x = (-91 + 52x) + 37 Reorder the terms: 1258 + -153x = -91 + 37 + 52x Combine like terms: -91 + 37 = -54 1258 + -153x = -54 + 52x Solving 1258 + -153x = -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 + -153x + -52x = -54 + 52x + -52x Combine like terms: -153x + -52x = -205x 1258 + -205x = -54 + 52x + -52x Combine like terms: 52x + -52x = 0 1258 + -205x = -54 + 0 1258 + -205x = -54 Add '-1258' to each side of the equation. 1258 + -1258 + -205x = -54 + -1258 Combine like terms: 1258 + -1258 = 0 0 + -205x = -54 + -1258 -205x = -54 + -1258 Combine like terms: -54 + -1258 = -1312 -205x = -1312 Divide each side by '-205'. x = 6.4 Simplifying x = 6.4
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