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Simplifying -6x + 76 = 15(x + 16) + -17 Reorder the terms: 76 + -6x = 15(x + 16) + -17 Reorder the terms: 76 + -6x = 15(16 + x) + -17 76 + -6x = (16 * 15 + x * 15) + -17 76 + -6x = (240 + 15x) + -17 Reorder the terms: 76 + -6x = 240 + -17 + 15x Combine like terms: 240 + -17 = 223 76 + -6x = 223 + 15x Solving 76 + -6x = 223 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 76 + -6x + -15x = 223 + 15x + -15x Combine like terms: -6x + -15x = -21x 76 + -21x = 223 + 15x + -15x Combine like terms: 15x + -15x = 0 76 + -21x = 223 + 0 76 + -21x = 223 Add '-76' to each side of the equation. 76 + -76 + -21x = 223 + -76 Combine like terms: 76 + -76 = 0 0 + -21x = 223 + -76 -21x = 223 + -76 Combine like terms: 223 + -76 = 147 -21x = 147 Divide each side by '-21'. x = -7 Simplifying x = -7
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