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Simplifying 7(x + -0.7) + 4(0.4 + 7x) = 5(5x + -6.2) Reorder the terms: 7(-0.7 + x) + 4(0.4 + 7x) = 5(5x + -6.2) (-0.7 * 7 + x * 7) + 4(0.4 + 7x) = 5(5x + -6.2) (-4.9 + 7x) + 4(0.4 + 7x) = 5(5x + -6.2) -4.9 + 7x + (0.4 * 4 + 7x * 4) = 5(5x + -6.2) -4.9 + 7x + (1.6 + 28x) = 5(5x + -6.2) Reorder the terms: -4.9 + 1.6 + 7x + 28x = 5(5x + -6.2) Combine like terms: -4.9 + 1.6 = -3.3 -3.3 + 7x + 28x = 5(5x + -6.2) Combine like terms: 7x + 28x = 35x -3.3 + 35x = 5(5x + -6.2) Reorder the terms: -3.3 + 35x = 5(-6.2 + 5x) -3.3 + 35x = (-6.2 * 5 + 5x * 5) -3.3 + 35x = (-31 + 25x) Solving -3.3 + 35x = -31 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -3.3 + 35x + -25x = -31 + 25x + -25x Combine like terms: 35x + -25x = 10x -3.3 + 10x = -31 + 25x + -25x Combine like terms: 25x + -25x = 0 -3.3 + 10x = -31 + 0 -3.3 + 10x = -31 Add '3.3' to each side of the equation. -3.3 + 3.3 + 10x = -31 + 3.3 Combine like terms: -3.3 + 3.3 = 0.0 0.0 + 10x = -31 + 3.3 10x = -31 + 3.3 Combine like terms: -31 + 3.3 = -27.7 10x = -27.7 Divide each side by '10'. x = -2.77 Simplifying x = -2.77
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