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Simplifying -0.1(x + -27) + 0.3(x + 3) = x + 11 Reorder the terms: -0.1(-27 + x) + 0.3(x + 3) = x + 11 (-27 * -0.1 + x * -0.1) + 0.3(x + 3) = x + 11 (2.7 + -0.1x) + 0.3(x + 3) = x + 11 Reorder the terms: 2.7 + -0.1x + 0.3(3 + x) = x + 11 2.7 + -0.1x + (3 * 0.3 + x * 0.3) = x + 11 2.7 + -0.1x + (0.9 + 0.3x) = x + 11 Reorder the terms: 2.7 + 0.9 + -0.1x + 0.3x = x + 11 Combine like terms: 2.7 + 0.9 = 3.6 3.6 + -0.1x + 0.3x = x + 11 Combine like terms: -0.1x + 0.3x = 0.2x 3.6 + 0.2x = x + 11 Reorder the terms: 3.6 + 0.2x = 11 + x Solving 3.6 + 0.2x = 11 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3.6 + 0.2x + -1x = 11 + x + -1x Combine like terms: 0.2x + -1x = -0.8x 3.6 + -0.8x = 11 + x + -1x Combine like terms: x + -1x = 0 3.6 + -0.8x = 11 + 0 3.6 + -0.8x = 11 Add '-3.6' to each side of the equation. 3.6 + -3.6 + -0.8x = 11 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + -0.8x = 11 + -3.6 -0.8x = 11 + -3.6 Combine like terms: 11 + -3.6 = 7.4 -0.8x = 7.4 Divide each side by '-0.8'. x = -9.25 Simplifying x = -9.25
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