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Simplifying 0.11[2x + -3x + 2(3)] = 0.4(x + -1) + 3 Multiply 2 * 3 0.11[2x + -3x + 6] = 0.4(x + -1) + 3 Reorder the terms: 0.11[6 + 2x + -3x] = 0.4(x + -1) + 3 Combine like terms: 2x + -3x = -1x 0.11[6 + -1x] = 0.4(x + -1) + 3 [6 * 0.11 + -1x * 0.11] = 0.4(x + -1) + 3 [0.66 + -0.11x] = 0.4(x + -1) + 3 Reorder the terms: 0.66 + -0.11x = 0.4(-1 + x) + 3 0.66 + -0.11x = (-1 * 0.4 + x * 0.4) + 3 0.66 + -0.11x = (-0.4 + 0.4x) + 3 Reorder the terms: 0.66 + -0.11x = -0.4 + 3 + 0.4x Combine like terms: -0.4 + 3 = 2.6 0.66 + -0.11x = 2.6 + 0.4x Solving 0.66 + -0.11x = 2.6 + 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. 0.66 + -0.11x + -0.4x = 2.6 + 0.4x + -0.4x Combine like terms: -0.11x + -0.4x = -0.51x 0.66 + -0.51x = 2.6 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 0.66 + -0.51x = 2.6 + 0.0 0.66 + -0.51x = 2.6 Add '-0.66' to each side of the equation. 0.66 + -0.66 + -0.51x = 2.6 + -0.66 Combine like terms: 0.66 + -0.66 = 0.00 0.00 + -0.51x = 2.6 + -0.66 -0.51x = 2.6 + -0.66 Combine like terms: 2.6 + -0.66 = 1.94 -0.51x = 1.94 Divide each side by '-0.51'. x = -3.803921569 Simplifying x = -3.803921569
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