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Simplifying -3(2.5x + 4.2) = 2.5x + -1x + 2(4.28) Reorder the terms: -3(4.2 + 2.5x) = 2.5x + -1x + 2(4.28) (4.2 * -3 + 2.5x * -3) = 2.5x + -1x + 2(4.28) (-12.6 + -7.5x) = 2.5x + -1x + 2(4.28) Multiply 2 * 4.28 -12.6 + -7.5x = 2.5x + -1x + 8.56 Reorder the terms: -12.6 + -7.5x = 8.56 + 2.5x + -1x Combine like terms: 2.5x + -1x = 1.5x -12.6 + -7.5x = 8.56 + 1.5x Solving -12.6 + -7.5x = 8.56 + 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. -12.6 + -7.5x + -1.5x = 8.56 + 1.5x + -1.5x Combine like terms: -7.5x + -1.5x = -9x -12.6 + -9x = 8.56 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -12.6 + -9x = 8.56 + 0.0 -12.6 + -9x = 8.56 Add '12.6' to each side of the equation. -12.6 + 12.6 + -9x = 8.56 + 12.6 Combine like terms: -12.6 + 12.6 = 0.0 0.0 + -9x = 8.56 + 12.6 -9x = 8.56 + 12.6 Combine like terms: 8.56 + 12.6 = 21.16 -9x = 21.16 Divide each side by '-9'. x = -2.351111111 Simplifying x = -2.351111111
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