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Simplifying 4x + 23 = 180 + -1(9x + -38) Reorder the terms: 23 + 4x = 180 + -1(9x + -38) Reorder the terms: 23 + 4x = 180 + -1(-38 + 9x) 23 + 4x = 180 + (-38 * -1 + 9x * -1) 23 + 4x = 180 + (38 + -9x) Combine like terms: 180 + 38 = 218 23 + 4x = 218 + -9x Solving 23 + 4x = 218 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 23 + 4x + 9x = 218 + -9x + 9x Combine like terms: 4x + 9x = 13x 23 + 13x = 218 + -9x + 9x Combine like terms: -9x + 9x = 0 23 + 13x = 218 + 0 23 + 13x = 218 Add '-23' to each side of the equation. 23 + -23 + 13x = 218 + -23 Combine like terms: 23 + -23 = 0 0 + 13x = 218 + -23 13x = 218 + -23 Combine like terms: 218 + -23 = 195 13x = 195 Divide each side by '13'. x = 15 Simplifying x = 15
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