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Simplifying -4.6x + 1.5 = -28.5 + -1.6x Reorder the terms: 1.5 + -4.6x = -28.5 + -1.6x Solving 1.5 + -4.6x = -28.5 + -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. 1.5 + -4.6x + 1.6x = -28.5 + -1.6x + 1.6x Combine like terms: -4.6x + 1.6x = -3x 1.5 + -3x = -28.5 + -1.6x + 1.6x Combine like terms: -1.6x + 1.6x = 0.0 1.5 + -3x = -28.5 + 0.0 1.5 + -3x = -28.5 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -3x = -28.5 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -3x = -28.5 + -1.5 -3x = -28.5 + -1.5 Combine like terms: -28.5 + -1.5 = -30 -3x = -30 Divide each side by '-3'. x = 10 Simplifying x = 10
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