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Simplifying 2.1x + -2(1.3x + -4) = 0.2(x + -3) Reorder the terms: 2.1x + -2(-4 + 1.3x) = 0.2(x + -3) 2.1x + (-4 * -2 + 1.3x * -2) = 0.2(x + -3) 2.1x + (8 + -2.6x) = 0.2(x + -3) Reorder the terms: 8 + 2.1x + -2.6x = 0.2(x + -3) Combine like terms: 2.1x + -2.6x = -0.5x 8 + -0.5x = 0.2(x + -3) Reorder the terms: 8 + -0.5x = 0.2(-3 + x) 8 + -0.5x = (-3 * 0.2 + x * 0.2) 8 + -0.5x = (-0.6 + 0.2x) Solving 8 + -0.5x = -0.6 + 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. 8 + -0.5x + -0.2x = -0.6 + 0.2x + -0.2x Combine like terms: -0.5x + -0.2x = -0.7x 8 + -0.7x = -0.6 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 8 + -0.7x = -0.6 + 0.0 8 + -0.7x = -0.6 Add '-8' to each side of the equation. 8 + -8 + -0.7x = -0.6 + -8 Combine like terms: 8 + -8 = 0 0 + -0.7x = -0.6 + -8 -0.7x = -0.6 + -8 Combine like terms: -0.6 + -8 = -8.6 -0.7x = -8.6 Divide each side by '-0.7'. x = 12.28571429 Simplifying x = 12.28571429
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