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Simplifying 2.5x + 3 + -1(0.7 + -0.3x) = 5.6(0.5 + 1) + -3.3 2.5x + 3 + (0.7 * -1 + -0.3x * -1) = 5.6(0.5 + 1) + -3.3 2.5x + 3 + (-0.7 + 0.3x) = 5.6(0.5 + 1) + -3.3 Reorder the terms: 3 + -0.7 + 2.5x + 0.3x = 5.6(0.5 + 1) + -3.3 Combine like terms: 3 + -0.7 = 2.3 2.3 + 2.5x + 0.3x = 5.6(0.5 + 1) + -3.3 Combine like terms: 2.5x + 0.3x = 2.8x 2.3 + 2.8x = 5.6(0.5 + 1) + -3.3 Combine like terms: 0.5 + 1 = 1.5 2.3 + 2.8x = 5.6(1.5) + -3.3 Multiply 5.6 * 1.5 2.3 + 2.8x = 8.4 + -3.3 Combine like terms: 8.4 + -3.3 = 5.1 2.3 + 2.8x = 5.1 Solving 2.3 + 2.8x = 5.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.3' to each side of the equation. 2.3 + -2.3 + 2.8x = 5.1 + -2.3 Combine like terms: 2.3 + -2.3 = 0.0 0.0 + 2.8x = 5.1 + -2.3 2.8x = 5.1 + -2.3 Combine like terms: 5.1 + -2.3 = 2.8 2.8x = 2.8 Divide each side by '2.8'. x = 1 Simplifying x = 1
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