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Simplifying -0.6x + 1.18 = -0.4x + 8.78 Reorder the terms: 1.18 + -0.6x = -0.4x + 8.78 Reorder the terms: 1.18 + -0.6x = 8.78 + -0.4x Solving 1.18 + -0.6x = 8.78 + -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. 1.18 + -0.6x + 0.4x = 8.78 + -0.4x + 0.4x Combine like terms: -0.6x + 0.4x = -0.2x 1.18 + -0.2x = 8.78 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 1.18 + -0.2x = 8.78 + 0.0 1.18 + -0.2x = 8.78 Add '-1.18' to each side of the equation. 1.18 + -1.18 + -0.2x = 8.78 + -1.18 Combine like terms: 1.18 + -1.18 = 0.00 0.00 + -0.2x = 8.78 + -1.18 -0.2x = 8.78 + -1.18 Combine like terms: 8.78 + -1.18 = 7.6 -0.2x = 7.6 Divide each side by '-0.2'. x = -38 Simplifying x = -38
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