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Simplifying 0.7(6x + 7) = 2.0 + -1(x + -3) Reorder the terms: 0.7(7 + 6x) = 2.0 + -1(x + -3) (7 * 0.7 + 6x * 0.7) = 2.0 + -1(x + -3) (4.9 + 4.2x) = 2.0 + -1(x + -3) Reorder the terms: 4.9 + 4.2x = 2.0 + -1(-3 + x) 4.9 + 4.2x = 2.0 + (-3 * -1 + x * -1) 4.9 + 4.2x = 2.0 + (3 + -1x) Combine like terms: 2.0 + 3 = 5 4.9 + 4.2x = 5 + -1x Solving 4.9 + 4.2x = 5 + -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. 4.9 + 4.2x + x = 5 + -1x + x Combine like terms: 4.2x + x = 5.2x 4.9 + 5.2x = 5 + -1x + x Combine like terms: -1x + x = 0 4.9 + 5.2x = 5 + 0 4.9 + 5.2x = 5 Add '-4.9' to each side of the equation. 4.9 + -4.9 + 5.2x = 5 + -4.9 Combine like terms: 4.9 + -4.9 = 0.0 0.0 + 5.2x = 5 + -4.9 5.2x = 5 + -4.9 Combine like terms: 5 + -4.9 = 0.1 5.2x = 0.1 Divide each side by '5.2'. x = 0.01923076923 Simplifying x = 0.01923076923
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