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Simplifying 5x + -1(x + 3) = 13(9x + 18) + -5 Reorder the terms: 5x + -1(3 + x) = 13(9x + 18) + -5 5x + (3 * -1 + x * -1) = 13(9x + 18) + -5 5x + (-3 + -1x) = 13(9x + 18) + -5 Reorder the terms: -3 + 5x + -1x = 13(9x + 18) + -5 Combine like terms: 5x + -1x = 4x -3 + 4x = 13(9x + 18) + -5 Reorder the terms: -3 + 4x = 13(18 + 9x) + -5 -3 + 4x = (18 * 13 + 9x * 13) + -5 -3 + 4x = (234 + 117x) + -5 Reorder the terms: -3 + 4x = 234 + -5 + 117x Combine like terms: 234 + -5 = 229 -3 + 4x = 229 + 117x Solving -3 + 4x = 229 + 117x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-117x' to each side of the equation. -3 + 4x + -117x = 229 + 117x + -117x Combine like terms: 4x + -117x = -113x -3 + -113x = 229 + 117x + -117x Combine like terms: 117x + -117x = 0 -3 + -113x = 229 + 0 -3 + -113x = 229 Add '3' to each side of the equation. -3 + 3 + -113x = 229 + 3 Combine like terms: -3 + 3 = 0 0 + -113x = 229 + 3 -113x = 229 + 3 Combine like terms: 229 + 3 = 232 -113x = 232 Divide each side by '-113'. x = -2.053097345 Simplifying x = -2.053097345
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