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Simplifying 0.7(9x + 6) = 1.3 + -1(x + -3) Reorder the terms: 0.7(6 + 9x) = 1.3 + -1(x + -3) (6 * 0.7 + 9x * 0.7) = 1.3 + -1(x + -3) (4.2 + 6.3x) = 1.3 + -1(x + -3) Reorder the terms: 4.2 + 6.3x = 1.3 + -1(-3 + x) 4.2 + 6.3x = 1.3 + (-3 * -1 + x * -1) 4.2 + 6.3x = 1.3 + (3 + -1x) Combine like terms: 1.3 + 3 = 4.3 4.2 + 6.3x = 4.3 + -1x Solving 4.2 + 6.3x = 4.3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 4.2 + 6.3x + x = 4.3 + -1x + x Combine like terms: 6.3x + x = 7.3x 4.2 + 7.3x = 4.3 + -1x + x Combine like terms: -1x + x = 0 4.2 + 7.3x = 4.3 + 0 4.2 + 7.3x = 4.3 Add '-4.2' to each side of the equation. 4.2 + -4.2 + 7.3x = 4.3 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + 7.3x = 4.3 + -4.2 7.3x = 4.3 + -4.2 Combine like terms: 4.3 + -4.2 = 0.1 7.3x = 0.1 Divide each side by '7.3'. x = 0.01369863014 Simplifying x = 0.01369863014
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