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Simplifying 2.7(3.0x + -1.5) + 6.3 = 9.1x + 6.55 Reorder the terms: 2.7(-1.5 + 3.0x) + 6.3 = 9.1x + 6.55 (-1.5 * 2.7 + 3.0x * 2.7) + 6.3 = 9.1x + 6.55 (-4.05 + 8.1x) + 6.3 = 9.1x + 6.55 Reorder the terms: -4.05 + 6.3 + 8.1x = 9.1x + 6.55 Combine like terms: -4.05 + 6.3 = 2.25 2.25 + 8.1x = 9.1x + 6.55 Reorder the terms: 2.25 + 8.1x = 6.55 + 9.1x Solving 2.25 + 8.1x = 6.55 + 9.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.1x' to each side of the equation. 2.25 + 8.1x + -9.1x = 6.55 + 9.1x + -9.1x Combine like terms: 8.1x + -9.1x = -1x 2.25 + -1x = 6.55 + 9.1x + -9.1x Combine like terms: 9.1x + -9.1x = 0.0 2.25 + -1x = 6.55 + 0.0 2.25 + -1x = 6.55 Add '-2.25' to each side of the equation. 2.25 + -2.25 + -1x = 6.55 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + -1x = 6.55 + -2.25 -1x = 6.55 + -2.25 Combine like terms: 6.55 + -2.25 = 4.3 -1x = 4.3 Divide each side by '-1'. x = -4.3 Simplifying x = -4.3
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