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Simplifying 2.3 + -4.7 + 0.6(3x + 5) = 0.7(3 + -1x) Reorder the terms: 2.3 + -4.7 + 0.6(5 + 3x) = 0.7(3 + -1x) 2.3 + -4.7 + (5 * 0.6 + 3x * 0.6) = 0.7(3 + -1x) 2.3 + -4.7 + (3 + 1.8x) = 0.7(3 + -1x) Combine like terms: 2.3 + -4.7 = -2.4 -2.4 + 3 + 1.8x = 0.7(3 + -1x) Combine like terms: -2.4 + 3 = 0.6 0.6 + 1.8x = 0.7(3 + -1x) 0.6 + 1.8x = (3 * 0.7 + -1x * 0.7) 0.6 + 1.8x = (2.1 + -0.7x) Solving 0.6 + 1.8x = 2.1 + -0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.7x' to each side of the equation. 0.6 + 1.8x + 0.7x = 2.1 + -0.7x + 0.7x Combine like terms: 1.8x + 0.7x = 2.5x 0.6 + 2.5x = 2.1 + -0.7x + 0.7x Combine like terms: -0.7x + 0.7x = 0.0 0.6 + 2.5x = 2.1 + 0.0 0.6 + 2.5x = 2.1 Add '-0.6' to each side of the equation. 0.6 + -0.6 + 2.5x = 2.1 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 2.5x = 2.1 + -0.6 2.5x = 2.1 + -0.6 Combine like terms: 2.1 + -0.6 = 1.5 2.5x = 1.5 Divide each side by '2.5'. x = 0.6 Simplifying x = 0.6
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