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Simplifying 0.6(5x + 7) = 1.3 + -1(x + -3) Reorder the terms: 0.6(7 + 5x) = 1.3 + -1(x + -3) (7 * 0.6 + 5x * 0.6) = 1.3 + -1(x + -3) (4.2 + 3x) = 1.3 + -1(x + -3) Reorder the terms: 4.2 + 3x = 1.3 + -1(-3 + x) 4.2 + 3x = 1.3 + (-3 * -1 + x * -1) 4.2 + 3x = 1.3 + (3 + -1x) Combine like terms: 1.3 + 3 = 4.3 4.2 + 3x = 4.3 + -1x Solving 4.2 + 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 + 3x + x = 4.3 + -1x + x Combine like terms: 3x + x = 4x 4.2 + 4x = 4.3 + -1x + x Combine like terms: -1x + x = 0 4.2 + 4x = 4.3 + 0 4.2 + 4x = 4.3 Add '-4.2' to each side of the equation. 4.2 + -4.2 + 4x = 4.3 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + 4x = 4.3 + -4.2 4x = 4.3 + -4.2 Combine like terms: 4.3 + -4.2 = 0.1 4x = 0.1 Divide each side by '4'. x = 0.025 Simplifying x = 0.025
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