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Simplifying 5(x + -0.7) + 4(0.5 + 5x) = 5(x + -7.1) Reorder the terms: 5(-0.7 + x) + 4(0.5 + 5x) = 5(x + -7.1) (-0.7 * 5 + x * 5) + 4(0.5 + 5x) = 5(x + -7.1) (-3.5 + 5x) + 4(0.5 + 5x) = 5(x + -7.1) -3.5 + 5x + (0.5 * 4 + 5x * 4) = 5(x + -7.1) -3.5 + 5x + (2 + 20x) = 5(x + -7.1) Reorder the terms: -3.5 + 2 + 5x + 20x = 5(x + -7.1) Combine like terms: -3.5 + 2 = -1.5 -1.5 + 5x + 20x = 5(x + -7.1) Combine like terms: 5x + 20x = 25x -1.5 + 25x = 5(x + -7.1) Reorder the terms: -1.5 + 25x = 5(-7.1 + x) -1.5 + 25x = (-7.1 * 5 + x * 5) -1.5 + 25x = (-35.5 + 5x) Solving -1.5 + 25x = -35.5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -1.5 + 25x + -5x = -35.5 + 5x + -5x Combine like terms: 25x + -5x = 20x -1.5 + 20x = -35.5 + 5x + -5x Combine like terms: 5x + -5x = 0 -1.5 + 20x = -35.5 + 0 -1.5 + 20x = -35.5 Add '1.5' to each side of the equation. -1.5 + 1.5 + 20x = -35.5 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 20x = -35.5 + 1.5 20x = -35.5 + 1.5 Combine like terms: -35.5 + 1.5 = -34 20x = -34 Divide each side by '20'. x = -1.7 Simplifying x = -1.7
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