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Simplifying 4x + 1 + -3x = 9x + -2 Reorder the terms: 1 + 4x + -3x = 9x + -2 Combine like terms: 4x + -3x = 1x 1 + 1x = 9x + -2 Reorder the terms: 1 + 1x = -2 + 9x Solving 1 + 1x = -2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 1 + 1x + -9x = -2 + 9x + -9x Combine like terms: 1x + -9x = -8x 1 + -8x = -2 + 9x + -9x Combine like terms: 9x + -9x = 0 1 + -8x = -2 + 0 1 + -8x = -2 Add '-1' to each side of the equation. 1 + -1 + -8x = -2 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = -2 + -1 -8x = -2 + -1 Combine like terms: -2 + -1 = -3 -8x = -3 Divide each side by '-8'. x = 0.375 Simplifying x = 0.375
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