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Simplifying 7(x + 5) + -2x + -40 = -3(2x + -9.4) + 4 Reorder the terms: 7(5 + x) + -2x + -40 = -3(2x + -9.4) + 4 (5 * 7 + x * 7) + -2x + -40 = -3(2x + -9.4) + 4 (35 + 7x) + -2x + -40 = -3(2x + -9.4) + 4 Reorder the terms: 35 + -40 + 7x + -2x = -3(2x + -9.4) + 4 Combine like terms: 35 + -40 = -5 -5 + 7x + -2x = -3(2x + -9.4) + 4 Combine like terms: 7x + -2x = 5x -5 + 5x = -3(2x + -9.4) + 4 Reorder the terms: -5 + 5x = -3(-9.4 + 2x) + 4 -5 + 5x = (-9.4 * -3 + 2x * -3) + 4 -5 + 5x = (28.2 + -6x) + 4 Reorder the terms: -5 + 5x = 28.2 + 4 + -6x Combine like terms: 28.2 + 4 = 32.2 -5 + 5x = 32.2 + -6x Solving -5 + 5x = 32.2 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -5 + 5x + 6x = 32.2 + -6x + 6x Combine like terms: 5x + 6x = 11x -5 + 11x = 32.2 + -6x + 6x Combine like terms: -6x + 6x = 0 -5 + 11x = 32.2 + 0 -5 + 11x = 32.2 Add '5' to each side of the equation. -5 + 5 + 11x = 32.2 + 5 Combine like terms: -5 + 5 = 0 0 + 11x = 32.2 + 5 11x = 32.2 + 5 Combine like terms: 32.2 + 5 = 37.2 11x = 37.2 Divide each side by '11'. x = 3.381818182 Simplifying x = 3.381818182
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