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Simplifying 18x + 4x + -6 + 2(-12x + 7) = 13 Reorder the terms: 18x + 4x + -6 + 2(7 + -12x) = 13 18x + 4x + -6 + (7 * 2 + -12x * 2) = 13 18x + 4x + -6 + (14 + -24x) = 13 Reorder the terms: -6 + 14 + 18x + 4x + -24x = 13 Combine like terms: -6 + 14 = 8 8 + 18x + 4x + -24x = 13 Combine like terms: 18x + 4x = 22x 8 + 22x + -24x = 13 Combine like terms: 22x + -24x = -2x 8 + -2x = 13 Solving 8 + -2x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -2x = 13 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = 13 + -8 -2x = 13 + -8 Combine like terms: 13 + -8 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5
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