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Simplifying 11 + 2[4x + 3(x + 37)] = 5 + -3x Reorder the terms: 11 + 2[4x + 3(37 + x)] = 5 + -3x 11 + 2[4x + (37 * 3 + x * 3)] = 5 + -3x 11 + 2[4x + (111 + 3x)] = 5 + -3x Reorder the terms: 11 + 2[111 + 4x + 3x] = 5 + -3x Combine like terms: 4x + 3x = 7x 11 + 2[111 + 7x] = 5 + -3x 11 + [111 * 2 + 7x * 2] = 5 + -3x 11 + [222 + 14x] = 5 + -3x Combine like terms: 11 + 222 = 233 233 + 14x = 5 + -3x Solving 233 + 14x = 5 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 233 + 14x + 3x = 5 + -3x + 3x Combine like terms: 14x + 3x = 17x 233 + 17x = 5 + -3x + 3x Combine like terms: -3x + 3x = 0 233 + 17x = 5 + 0 233 + 17x = 5 Add '-233' to each side of the equation. 233 + -233 + 17x = 5 + -233 Combine like terms: 233 + -233 = 0 0 + 17x = 5 + -233 17x = 5 + -233 Combine like terms: 5 + -233 = -228 17x = -228 Divide each side by '17'. x = -13.41176471 Simplifying x = -13.41176471
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