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Simplifying 0.7(4x + 6) = 1.3 + -1(x + -3) Reorder the terms: 0.7(6 + 4x) = 1.3 + -1(x + -3) (6 * 0.7 + 4x * 0.7) = 1.3 + -1(x + -3) (4.2 + 2.8x) = 1.3 + -1(x + -3) Reorder the terms: 4.2 + 2.8x = 1.3 + -1(-3 + x) 4.2 + 2.8x = 1.3 + (-3 * -1 + x * -1) 4.2 + 2.8x = 1.3 + (3 + -1x) Combine like terms: 1.3 + 3 = 4.3 4.2 + 2.8x = 4.3 + -1x Solving 4.2 + 2.8x = 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 + 2.8x + x = 4.3 + -1x + x Combine like terms: 2.8x + x = 3.8x 4.2 + 3.8x = 4.3 + -1x + x Combine like terms: -1x + x = 0 4.2 + 3.8x = 4.3 + 0 4.2 + 3.8x = 4.3 Add '-4.2' to each side of the equation. 4.2 + -4.2 + 3.8x = 4.3 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + 3.8x = 4.3 + -4.2 3.8x = 4.3 + -4.2 Combine like terms: 4.3 + -4.2 = 0.1 3.8x = 0.1 Divide each side by '3.8'. x = 0.02631578947 Simplifying x = 0.02631578947
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