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Simplifying 0.6x + -1.2(x + -6) = 0.4(x + -2) Reorder the terms: 0.6x + -1.2(-6 + x) = 0.4(x + -2) 0.6x + (-6 * -1.2 + x * -1.2) = 0.4(x + -2) 0.6x + (7.2 + -1.2x) = 0.4(x + -2) Reorder the terms: 7.2 + 0.6x + -1.2x = 0.4(x + -2) Combine like terms: 0.6x + -1.2x = -0.6x 7.2 + -0.6x = 0.4(x + -2) Reorder the terms: 7.2 + -0.6x = 0.4(-2 + x) 7.2 + -0.6x = (-2 * 0.4 + x * 0.4) 7.2 + -0.6x = (-0.8 + 0.4x) Solving 7.2 + -0.6x = -0.8 + 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. 7.2 + -0.6x + -0.4x = -0.8 + 0.4x + -0.4x Combine like terms: -0.6x + -0.4x = -1x 7.2 + -1x = -0.8 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 7.2 + -1x = -0.8 + 0.0 7.2 + -1x = -0.8 Add '-7.2' to each side of the equation. 7.2 + -7.2 + -1x = -0.8 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + -1x = -0.8 + -7.2 -1x = -0.8 + -7.2 Combine like terms: -0.8 + -7.2 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8
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