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Simplifying 3 + 0.4(3x + 2) + -0.28(x + 1) = 2x + -5 Reorder the terms: 3 + 0.4(2 + 3x) + -0.28(x + 1) = 2x + -5 3 + (2 * 0.4 + 3x * 0.4) + -0.28(x + 1) = 2x + -5 3 + (0.8 + 1.2x) + -0.28(x + 1) = 2x + -5 Reorder the terms: 3 + 0.8 + 1.2x + -0.28(1 + x) = 2x + -5 3 + 0.8 + 1.2x + (1 * -0.28 + x * -0.28) = 2x + -5 3 + 0.8 + 1.2x + (-0.28 + -0.28x) = 2x + -5 Reorder the terms: 3 + 0.8 + -0.28 + 1.2x + -0.28x = 2x + -5 Combine like terms: 3 + 0.8 = 3.8 3.8 + -0.28 + 1.2x + -0.28x = 2x + -5 Combine like terms: 3.8 + -0.28 = 3.52 3.52 + 1.2x + -0.28x = 2x + -5 Combine like terms: 1.2x + -0.28x = 0.92x 3.52 + 0.92x = 2x + -5 Reorder the terms: 3.52 + 0.92x = -5 + 2x Solving 3.52 + 0.92x = -5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3.52 + 0.92x + -2x = -5 + 2x + -2x Combine like terms: 0.92x + -2x = -1.08x 3.52 + -1.08x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 3.52 + -1.08x = -5 + 0 3.52 + -1.08x = -5 Add '-3.52' to each side of the equation. 3.52 + -3.52 + -1.08x = -5 + -3.52 Combine like terms: 3.52 + -3.52 = 0.00 0.00 + -1.08x = -5 + -3.52 -1.08x = -5 + -3.52 Combine like terms: -5 + -3.52 = -8.52 -1.08x = -8.52 Divide each side by '-1.08'. x = 7.888888889 Simplifying x = 7.888888889
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