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Simplifying -3(2.5x + 4.2) = 2.7x + -1x + (4.28) Reorder the terms: -3(4.2 + 2.5x) = 2.7x + -1x + (4.28) (4.2 * -3 + 2.5x * -3) = 2.7x + -1x + (4.28) (-12.6 + -7.5x) = 2.7x + -1x + (4.28) -12.6 + -7.5x = 2.7x + -1x + 4.28 Reorder the terms: -12.6 + -7.5x = 4.28 + 2.7x + -1x Combine like terms: 2.7x + -1x = 1.7x -12.6 + -7.5x = 4.28 + 1.7x Solving -12.6 + -7.5x = 4.28 + 1.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.7x' to each side of the equation. -12.6 + -7.5x + -1.7x = 4.28 + 1.7x + -1.7x Combine like terms: -7.5x + -1.7x = -9.2x -12.6 + -9.2x = 4.28 + 1.7x + -1.7x Combine like terms: 1.7x + -1.7x = 0.0 -12.6 + -9.2x = 4.28 + 0.0 -12.6 + -9.2x = 4.28 Add '12.6' to each side of the equation. -12.6 + 12.6 + -9.2x = 4.28 + 12.6 Combine like terms: -12.6 + 12.6 = 0.0 0.0 + -9.2x = 4.28 + 12.6 -9.2x = 4.28 + 12.6 Combine like terms: 4.28 + 12.6 = 16.88 -9.2x = 16.88 Divide each side by '-9.2'. x = -1.834782609 Simplifying x = -1.834782609
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