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Simplifying 0.2(x + -30) = 1.6x Reorder the terms: 0.2(-30 + x) = 1.6x (-30 * 0.2 + x * 0.2) = 1.6x (-6 + 0.2x) = 1.6x Solving -6 + 0.2x = 1.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.6x' to each side of the equation. -6 + 0.2x + -1.6x = 1.6x + -1.6x Combine like terms: 0.2x + -1.6x = -1.4x -6 + -1.4x = 1.6x + -1.6x Combine like terms: 1.6x + -1.6x = 0.0 -6 + -1.4x = 0.0 Add '6' to each side of the equation. -6 + 6 + -1.4x = 0.0 + 6 Combine like terms: -6 + 6 = 0 0 + -1.4x = 0.0 + 6 -1.4x = 0.0 + 6 Combine like terms: 0.0 + 6 = 6 -1.4x = 6 Divide each side by '-1.4'. x = -4.285714286 Simplifying x = -4.285714286
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