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Simplifying 5x + -9x + 5 = -13 + -6x + 8x Reorder the terms: 5 + 5x + -9x = -13 + -6x + 8x Combine like terms: 5x + -9x = -4x 5 + -4x = -13 + -6x + 8x Combine like terms: -6x + 8x = 2x 5 + -4x = -13 + 2x Solving 5 + -4x = -13 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + -4x + -2x = -13 + 2x + -2x Combine like terms: -4x + -2x = -6x 5 + -6x = -13 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -6x = -13 + 0 5 + -6x = -13 Add '-5' to each side of the equation. 5 + -5 + -6x = -13 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = -13 + -5 -6x = -13 + -5 Combine like terms: -13 + -5 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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