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Simplifying 33.333(9x + -2) + 1 = 2(4x + 1) Reorder the terms: 33.333(-2 + 9x) + 1 = 2(4x + 1) (-2 * 33.333 + 9x * 33.333) + 1 = 2(4x + 1) (-66.666 + 299.997x) + 1 = 2(4x + 1) Reorder the terms: -66.666 + 1 + 299.997x = 2(4x + 1) Combine like terms: -66.666 + 1 = -65.666 -65.666 + 299.997x = 2(4x + 1) Reorder the terms: -65.666 + 299.997x = 2(1 + 4x) -65.666 + 299.997x = (1 * 2 + 4x * 2) -65.666 + 299.997x = (2 + 8x) Solving -65.666 + 299.997x = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -65.666 + 299.997x + -8x = 2 + 8x + -8x Combine like terms: 299.997x + -8x = 291.997x -65.666 + 291.997x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 -65.666 + 291.997x = 2 + 0 -65.666 + 291.997x = 2 Add '65.666' to each side of the equation. -65.666 + 65.666 + 291.997x = 2 + 65.666 Combine like terms: -65.666 + 65.666 = 0.000 0.000 + 291.997x = 2 + 65.666 291.997x = 2 + 65.666 Combine like terms: 2 + 65.666 = 67.666 291.997x = 67.666 Divide each side by '291.997'. x = 0.2317352576 Simplifying x = 0.2317352576
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