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Simplifying -1(5.7 + -2.9x) + -1(3.8x + -3.7) = -4.9x (5.7 * -1 + -2.9x * -1) + -1(3.8x + -3.7) = -4.9x (-5.7 + 2.9x) + -1(3.8x + -3.7) = -4.9x Reorder the terms: -5.7 + 2.9x + -1(-3.7 + 3.8x) = -4.9x -5.7 + 2.9x + (-3.7 * -1 + 3.8x * -1) = -4.9x -5.7 + 2.9x + (3.7 + -3.8x) = -4.9x Reorder the terms: -5.7 + 3.7 + 2.9x + -3.8x = -4.9x Combine like terms: -5.7 + 3.7 = -2 -2 + 2.9x + -3.8x = -4.9x Combine like terms: 2.9x + -3.8x = -0.9x -2 + -0.9x = -4.9x Solving -2 + -0.9x = -4.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.9x' to each side of the equation. -2 + -0.9x + 4.9x = -4.9x + 4.9x Combine like terms: -0.9x + 4.9x = 4x -2 + 4x = -4.9x + 4.9x Combine like terms: -4.9x + 4.9x = 0.0 -2 + 4x = 0.0 Add '2' to each side of the equation. -2 + 2 + 4x = 0.0 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 0.0 + 2 4x = 0.0 + 2 Combine like terms: 0.0 + 2 = 2 4x = 2 Divide each side by '4'. x = 0.5 Simplifying x = 0.5
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