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Simplifying 44(x + -3) + -5(8x + -27) = 2x + 34 Reorder the terms: 44(-3 + x) + -5(8x + -27) = 2x + 34 (-3 * 44 + x * 44) + -5(8x + -27) = 2x + 34 (-132 + 44x) + -5(8x + -27) = 2x + 34 Reorder the terms: -132 + 44x + -5(-27 + 8x) = 2x + 34 -132 + 44x + (-27 * -5 + 8x * -5) = 2x + 34 -132 + 44x + (135 + -40x) = 2x + 34 Reorder the terms: -132 + 135 + 44x + -40x = 2x + 34 Combine like terms: -132 + 135 = 3 3 + 44x + -40x = 2x + 34 Combine like terms: 44x + -40x = 4x 3 + 4x = 2x + 34 Reorder the terms: 3 + 4x = 34 + 2x Solving 3 + 4x = 34 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3 + 4x + -2x = 34 + 2x + -2x Combine like terms: 4x + -2x = 2x 3 + 2x = 34 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 2x = 34 + 0 3 + 2x = 34 Add '-3' to each side of the equation. 3 + -3 + 2x = 34 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 34 + -3 2x = 34 + -3 Combine like terms: 34 + -3 = 31 2x = 31 Divide each side by '2'. x = 15.5 Simplifying x = 15.5
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