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Simplifying -4.6x + 1.4 = -12.6 + -1.8x Reorder the terms: 1.4 + -4.6x = -12.6 + -1.8x Solving 1.4 + -4.6x = -12.6 + -1.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.8x' to each side of the equation. 1.4 + -4.6x + 1.8x = -12.6 + -1.8x + 1.8x Combine like terms: -4.6x + 1.8x = -2.8x 1.4 + -2.8x = -12.6 + -1.8x + 1.8x Combine like terms: -1.8x + 1.8x = 0.0 1.4 + -2.8x = -12.6 + 0.0 1.4 + -2.8x = -12.6 Add '-1.4' to each side of the equation. 1.4 + -1.4 + -2.8x = -12.6 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -2.8x = -12.6 + -1.4 -2.8x = -12.6 + -1.4 Combine like terms: -12.6 + -1.4 = -14 -2.8x = -14 Divide each side by '-2.8'. x = 5 Simplifying x = 5
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