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Simplifying 16(-1x + 14) = -31(x + -5) Reorder the terms: 16(14 + -1x) = -31(x + -5) (14 * 16 + -1x * 16) = -31(x + -5) (224 + -16x) = -31(x + -5) Reorder the terms: 224 + -16x = -31(-5 + x) 224 + -16x = (-5 * -31 + x * -31) 224 + -16x = (155 + -31x) Solving 224 + -16x = 155 + -31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31x' to each side of the equation. 224 + -16x + 31x = 155 + -31x + 31x Combine like terms: -16x + 31x = 15x 224 + 15x = 155 + -31x + 31x Combine like terms: -31x + 31x = 0 224 + 15x = 155 + 0 224 + 15x = 155 Add '-224' to each side of the equation. 224 + -224 + 15x = 155 + -224 Combine like terms: 224 + -224 = 0 0 + 15x = 155 + -224 15x = 155 + -224 Combine like terms: 155 + -224 = -69 15x = -69 Divide each side by '15'. x = -4.6 Simplifying x = -4.6
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