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Simplifying 0.2(7 + -30x) = -5x + -1.6 (7 * 0.2 + -30x * 0.2) = -5x + -1.6 (1.4 + -6x) = -5x + -1.6 Reorder the terms: 1.4 + -6x = -1.6 + -5x Solving 1.4 + -6x = -1.6 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 1.4 + -6x + 5x = -1.6 + -5x + 5x Combine like terms: -6x + 5x = -1x 1.4 + -1x = -1.6 + -5x + 5x Combine like terms: -5x + 5x = 0 1.4 + -1x = -1.6 + 0 1.4 + -1x = -1.6 Add '-1.4' to each side of the equation. 1.4 + -1.4 + -1x = -1.6 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -1x = -1.6 + -1.4 -1x = -1.6 + -1.4 Combine like terms: -1.6 + -1.4 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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