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Simplifying (5.7x + -0.8) + -1(4.9x + -1.4) = 0 Reorder the terms: (-0.8 + 5.7x) + -1(4.9x + -1.4) = 0 Remove parenthesis around (-0.8 + 5.7x) -0.8 + 5.7x + -1(4.9x + -1.4) = 0 Reorder the terms: -0.8 + 5.7x + -1(-1.4 + 4.9x) = 0 -0.8 + 5.7x + (-1.4 * -1 + 4.9x * -1) = 0 -0.8 + 5.7x + (1.4 + -4.9x) = 0 Reorder the terms: -0.8 + 1.4 + 5.7x + -4.9x = 0 Combine like terms: -0.8 + 1.4 = 0.6 0.6 + 5.7x + -4.9x = 0 Combine like terms: 5.7x + -4.9x = 0.8x 0.6 + 0.8x = 0 Solving 0.6 + 0.8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6' to each side of the equation. 0.6 + -0.6 + 0.8x = 0 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 0.8x = 0 + -0.6 0.8x = 0 + -0.6 Combine like terms: 0 + -0.6 = -0.6 0.8x = -0.6 Divide each side by '0.8'. x = -0.75 Simplifying x = -0.75
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