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Simplifying x + -6.4x + -1.9 = -4.9(x + 6) Reorder the terms: -1.9 + x + -6.4x = -4.9(x + 6) Combine like terms: x + -6.4x = -5.4x -1.9 + -5.4x = -4.9(x + 6) Reorder the terms: -1.9 + -5.4x = -4.9(6 + x) -1.9 + -5.4x = (6 * -4.9 + x * -4.9) -1.9 + -5.4x = (-29.4 + -4.9x) Solving -1.9 + -5.4x = -29.4 + -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. -1.9 + -5.4x + 4.9x = -29.4 + -4.9x + 4.9x Combine like terms: -5.4x + 4.9x = -0.5x -1.9 + -0.5x = -29.4 + -4.9x + 4.9x Combine like terms: -4.9x + 4.9x = 0.0 -1.9 + -0.5x = -29.4 + 0.0 -1.9 + -0.5x = -29.4 Add '1.9' to each side of the equation. -1.9 + 1.9 + -0.5x = -29.4 + 1.9 Combine like terms: -1.9 + 1.9 = 0.0 0.0 + -0.5x = -29.4 + 1.9 -0.5x = -29.4 + 1.9 Combine like terms: -29.4 + 1.9 = -27.5 -0.5x = -27.5 Divide each side by '-0.5'. x = 55 Simplifying x = 55
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