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Simplifying 7.9 + -2.6x = 1.5x + -1(9.1 + 2.1w) 7.9 + -2.6x = 1.5x + (9.1 * -1 + 2.1w * -1) 7.9 + -2.6x = 1.5x + (-9.1 + -2.1w) Reorder the terms: 7.9 + -2.6x = -9.1 + -2.1w + 1.5x Solving 7.9 + -2.6x = -9.1 + -2.1w + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 7.9 + -2.6x + -1.5x = -9.1 + -2.1w + 1.5x + -1.5x Combine like terms: -2.6x + -1.5x = -4.1x 7.9 + -4.1x = -9.1 + -2.1w + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 7.9 + -4.1x = -9.1 + -2.1w + 0.0 7.9 + -4.1x = -9.1 + -2.1w Add '-7.9' to each side of the equation. 7.9 + -7.9 + -4.1x = -9.1 + -7.9 + -2.1w Combine like terms: 7.9 + -7.9 = 0.0 0.0 + -4.1x = -9.1 + -7.9 + -2.1w -4.1x = -9.1 + -7.9 + -2.1w Combine like terms: -9.1 + -7.9 = -17 -4.1x = -17 + -2.1w Divide each side by '-4.1'. x = 4.146341463 + 0.512195122w Simplifying x = 4.146341463 + 0.512195122w
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