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Simplifying (7x + -8) * 0.2 = 6 + 4x Reorder the terms: (-8 + 7x) * 0.2 = 6 + 4x Reorder the terms for easier multiplication: 0.2(-8 + 7x) = 6 + 4x (-8 * 0.2 + 7x * 0.2) = 6 + 4x (-1.6 + 1.4x) = 6 + 4x Solving -1.6 + 1.4x = 6 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -1.6 + 1.4x + -4x = 6 + 4x + -4x Combine like terms: 1.4x + -4x = -2.6x -1.6 + -2.6x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -1.6 + -2.6x = 6 + 0 -1.6 + -2.6x = 6 Add '1.6' to each side of the equation. -1.6 + 1.6 + -2.6x = 6 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + -2.6x = 6 + 1.6 -2.6x = 6 + 1.6 Combine like terms: 6 + 1.6 = 7.6 -2.6x = 7.6 Divide each side by '-2.6'. x = -2.923076923 Simplifying x = -2.923076923
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