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Simplifying 157 + -21(x + 3) = 163 + -15(2x + -5) Reorder the terms: 157 + -21(3 + x) = 163 + -15(2x + -5) 157 + (3 * -21 + x * -21) = 163 + -15(2x + -5) 157 + (-63 + -21x) = 163 + -15(2x + -5) Combine like terms: 157 + -63 = 94 94 + -21x = 163 + -15(2x + -5) Reorder the terms: 94 + -21x = 163 + -15(-5 + 2x) 94 + -21x = 163 + (-5 * -15 + 2x * -15) 94 + -21x = 163 + (75 + -30x) Combine like terms: 163 + 75 = 238 94 + -21x = 238 + -30x Solving 94 + -21x = 238 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. 94 + -21x + 30x = 238 + -30x + 30x Combine like terms: -21x + 30x = 9x 94 + 9x = 238 + -30x + 30x Combine like terms: -30x + 30x = 0 94 + 9x = 238 + 0 94 + 9x = 238 Add '-94' to each side of the equation. 94 + -94 + 9x = 238 + -94 Combine like terms: 94 + -94 = 0 0 + 9x = 238 + -94 9x = 238 + -94 Combine like terms: 238 + -94 = 144 9x = 144 Divide each side by '9'. x = 16 Simplifying x = 16
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