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Simplifying 13x + -15x + 18 = 4x + 2 + -24 Reorder the terms: 18 + 13x + -15x = 4x + 2 + -24 Combine like terms: 13x + -15x = -2x 18 + -2x = 4x + 2 + -24 Reorder the terms: 18 + -2x = 2 + -24 + 4x Combine like terms: 2 + -24 = -22 18 + -2x = -22 + 4x Solving 18 + -2x = -22 + 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. 18 + -2x + -4x = -22 + 4x + -4x Combine like terms: -2x + -4x = -6x 18 + -6x = -22 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + -6x = -22 + 0 18 + -6x = -22 Add '-18' to each side of the equation. 18 + -18 + -6x = -22 + -18 Combine like terms: 18 + -18 = 0 0 + -6x = -22 + -18 -6x = -22 + -18 Combine like terms: -22 + -18 = -40 -6x = -40 Divide each side by '-6'. x = 6.666666667 Simplifying x = 6.666666667
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