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Simplifying (18x + 13) + -1(15x + -12) = x + 9 Reorder the terms: (13 + 18x) + -1(15x + -12) = x + 9 Remove parenthesis around (13 + 18x) 13 + 18x + -1(15x + -12) = x + 9 Reorder the terms: 13 + 18x + -1(-12 + 15x) = x + 9 13 + 18x + (-12 * -1 + 15x * -1) = x + 9 13 + 18x + (12 + -15x) = x + 9 Reorder the terms: 13 + 12 + 18x + -15x = x + 9 Combine like terms: 13 + 12 = 25 25 + 18x + -15x = x + 9 Combine like terms: 18x + -15x = 3x 25 + 3x = x + 9 Reorder the terms: 25 + 3x = 9 + x Solving 25 + 3x = 9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 25 + 3x + -1x = 9 + x + -1x Combine like terms: 3x + -1x = 2x 25 + 2x = 9 + x + -1x Combine like terms: x + -1x = 0 25 + 2x = 9 + 0 25 + 2x = 9 Add '-25' to each side of the equation. 25 + -25 + 2x = 9 + -25 Combine like terms: 25 + -25 = 0 0 + 2x = 9 + -25 2x = 9 + -25 Combine like terms: 9 + -25 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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