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Simplifying 4(19 + -4x) + -5(x + -1) = 100 + 4x (19 * 4 + -4x * 4) + -5(x + -1) = 100 + 4x (76 + -16x) + -5(x + -1) = 100 + 4x Reorder the terms: 76 + -16x + -5(-1 + x) = 100 + 4x 76 + -16x + (-1 * -5 + x * -5) = 100 + 4x 76 + -16x + (5 + -5x) = 100 + 4x Reorder the terms: 76 + 5 + -16x + -5x = 100 + 4x Combine like terms: 76 + 5 = 81 81 + -16x + -5x = 100 + 4x Combine like terms: -16x + -5x = -21x 81 + -21x = 100 + 4x Solving 81 + -21x = 100 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 81 + -21x + -4x = 100 + 4x + -4x Combine like terms: -21x + -4x = -25x 81 + -25x = 100 + 4x + -4x Combine like terms: 4x + -4x = 0 81 + -25x = 100 + 0 81 + -25x = 100 Add '-81' to each side of the equation. 81 + -81 + -25x = 100 + -81 Combine like terms: 81 + -81 = 0 0 + -25x = 100 + -81 -25x = 100 + -81 Combine like terms: 100 + -81 = 19 -25x = 19 Divide each side by '-25'. x = -0.76 Simplifying x = -0.76
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