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Simplifying 0.3x + -1.4(x + -11) = 0.2(x + -1) Reorder the terms: 0.3x + -1.4(-11 + x) = 0.2(x + -1) 0.3x + (-11 * -1.4 + x * -1.4) = 0.2(x + -1) 0.3x + (15.4 + -1.4x) = 0.2(x + -1) Reorder the terms: 15.4 + 0.3x + -1.4x = 0.2(x + -1) Combine like terms: 0.3x + -1.4x = -1.1x 15.4 + -1.1x = 0.2(x + -1) Reorder the terms: 15.4 + -1.1x = 0.2(-1 + x) 15.4 + -1.1x = (-1 * 0.2 + x * 0.2) 15.4 + -1.1x = (-0.2 + 0.2x) Solving 15.4 + -1.1x = -0.2 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. 15.4 + -1.1x + -0.2x = -0.2 + 0.2x + -0.2x Combine like terms: -1.1x + -0.2x = -1.3x 15.4 + -1.3x = -0.2 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 15.4 + -1.3x = -0.2 + 0.0 15.4 + -1.3x = -0.2 Add '-15.4' to each side of the equation. 15.4 + -15.4 + -1.3x = -0.2 + -15.4 Combine like terms: 15.4 + -15.4 = 0.0 0.0 + -1.3x = -0.2 + -15.4 -1.3x = -0.2 + -15.4 Combine like terms: -0.2 + -15.4 = -15.6 -1.3x = -15.6 Divide each side by '-1.3'. x = 12 Simplifying x = 12
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