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Simplifying 4x + 3 + 8 + -3x = -2x + 6x + -2 Reorder the terms: 3 + 8 + 4x + -3x = -2x + 6x + -2 Combine like terms: 3 + 8 = 11 11 + 4x + -3x = -2x + 6x + -2 Combine like terms: 4x + -3x = 1x 11 + 1x = -2x + 6x + -2 Reorder the terms: 11 + 1x = -2 + -2x + 6x Combine like terms: -2x + 6x = 4x 11 + 1x = -2 + 4x Solving 11 + 1x = -2 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 11 + 1x + -4x = -2 + 4x + -4x Combine like terms: 1x + -4x = -3x 11 + -3x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 11 + -3x = -2 + 0 11 + -3x = -2 Add '-11' to each side of the equation. 11 + -11 + -3x = -2 + -11 Combine like terms: 11 + -11 = 0 0 + -3x = -2 + -11 -3x = -2 + -11 Combine like terms: -2 + -11 = -13 -3x = -13 Divide each side by '-3'. x = 4.333333333 Simplifying x = 4.333333333
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