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Simplifying 8.9(x + -3.5) + 4.2(3x + 2.3) = 4.7x Reorder the terms: 8.9(-3.5 + x) + 4.2(3x + 2.3) = 4.7x (-3.5 * 8.9 + x * 8.9) + 4.2(3x + 2.3) = 4.7x (-31.15 + 8.9x) + 4.2(3x + 2.3) = 4.7x Reorder the terms: -31.15 + 8.9x + 4.2(2.3 + 3x) = 4.7x -31.15 + 8.9x + (2.3 * 4.2 + 3x * 4.2) = 4.7x -31.15 + 8.9x + (9.66 + 12.6x) = 4.7x Reorder the terms: -31.15 + 9.66 + 8.9x + 12.6x = 4.7x Combine like terms: -31.15 + 9.66 = -21.49 -21.49 + 8.9x + 12.6x = 4.7x Combine like terms: 8.9x + 12.6x = 21.5x -21.49 + 21.5x = 4.7x Solving -21.49 + 21.5x = 4.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.7x' to each side of the equation. -21.49 + 21.5x + -4.7x = 4.7x + -4.7x Combine like terms: 21.5x + -4.7x = 16.8x -21.49 + 16.8x = 4.7x + -4.7x Combine like terms: 4.7x + -4.7x = 0.0 -21.49 + 16.8x = 0.0 Add '21.49' to each side of the equation. -21.49 + 21.49 + 16.8x = 0.0 + 21.49 Combine like terms: -21.49 + 21.49 = 0.00 0.00 + 16.8x = 0.0 + 21.49 16.8x = 0.0 + 21.49 Combine like terms: 0.0 + 21.49 = 21.49 16.8x = 21.49 Divide each side by '16.8'. x = 1.279166667 Simplifying x = 1.279166667
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