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Simplifying (-3.4x + 4.7) + -1(3 + 2.9x) = 0 Reorder the terms: (4.7 + -3.4x) + -1(3 + 2.9x) = 0 Remove parenthesis around (4.7 + -3.4x) 4.7 + -3.4x + -1(3 + 2.9x) = 0 4.7 + -3.4x + (3 * -1 + 2.9x * -1) = 0 4.7 + -3.4x + (-3 + -2.9x) = 0 Reorder the terms: 4.7 + -3 + -3.4x + -2.9x = 0 Combine like terms: 4.7 + -3 = 1.7 1.7 + -3.4x + -2.9x = 0 Combine like terms: -3.4x + -2.9x = -6.3x 1.7 + -6.3x = 0 Solving 1.7 + -6.3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.7' to each side of the equation. 1.7 + -1.7 + -6.3x = 0 + -1.7 Combine like terms: 1.7 + -1.7 = 0.0 0.0 + -6.3x = 0 + -1.7 -6.3x = 0 + -1.7 Combine like terms: 0 + -1.7 = -1.7 -6.3x = -1.7 Divide each side by '-6.3'. x = 0.2698412698 Simplifying x = 0.2698412698
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