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Simplifying 2.8(x + 2) + 0.11(x + 3) = 0.4(x + 1) Reorder the terms: 2.8(2 + x) + 0.11(x + 3) = 0.4(x + 1) (2 * 2.8 + x * 2.8) + 0.11(x + 3) = 0.4(x + 1) (5.6 + 2.8x) + 0.11(x + 3) = 0.4(x + 1) Reorder the terms: 5.6 + 2.8x + 0.11(3 + x) = 0.4(x + 1) 5.6 + 2.8x + (3 * 0.11 + x * 0.11) = 0.4(x + 1) 5.6 + 2.8x + (0.33 + 0.11x) = 0.4(x + 1) Reorder the terms: 5.6 + 0.33 + 2.8x + 0.11x = 0.4(x + 1) Combine like terms: 5.6 + 0.33 = 5.93 5.93 + 2.8x + 0.11x = 0.4(x + 1) Combine like terms: 2.8x + 0.11x = 2.91x 5.93 + 2.91x = 0.4(x + 1) Reorder the terms: 5.93 + 2.91x = 0.4(1 + x) 5.93 + 2.91x = (1 * 0.4 + x * 0.4) 5.93 + 2.91x = (0.4 + 0.4x) Solving 5.93 + 2.91x = 0.4 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 5.93 + 2.91x + -0.4x = 0.4 + 0.4x + -0.4x Combine like terms: 2.91x + -0.4x = 2.51x 5.93 + 2.51x = 0.4 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 5.93 + 2.51x = 0.4 + 0.0 5.93 + 2.51x = 0.4 Add '-5.93' to each side of the equation. 5.93 + -5.93 + 2.51x = 0.4 + -5.93 Combine like terms: 5.93 + -5.93 = 0.00 0.00 + 2.51x = 0.4 + -5.93 2.51x = 0.4 + -5.93 Combine like terms: 0.4 + -5.93 = -5.53 2.51x = -5.53 Divide each side by '2.51'. x = -2.203187251 Simplifying x = -2.203187251
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