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Simplifying -17 + -1(18x + -9) = -1(19x + -12) + -13 Reorder the terms: -17 + -1(-9 + 18x) = -1(19x + -12) + -13 -17 + (-9 * -1 + 18x * -1) = -1(19x + -12) + -13 -17 + (9 + -18x) = -1(19x + -12) + -13 Combine like terms: -17 + 9 = -8 -8 + -18x = -1(19x + -12) + -13 Reorder the terms: -8 + -18x = -1(-12 + 19x) + -13 -8 + -18x = (-12 * -1 + 19x * -1) + -13 -8 + -18x = (12 + -19x) + -13 Reorder the terms: -8 + -18x = 12 + -13 + -19x Combine like terms: 12 + -13 = -1 -8 + -18x = -1 + -19x Solving -8 + -18x = -1 + -19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19x' to each side of the equation. -8 + -18x + 19x = -1 + -19x + 19x Combine like terms: -18x + 19x = 1x -8 + 1x = -1 + -19x + 19x Combine like terms: -19x + 19x = 0 -8 + 1x = -1 + 0 -8 + 1x = -1 Add '8' to each side of the equation. -8 + 8 + 1x = -1 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = -1 + 8 1x = -1 + 8 Combine like terms: -1 + 8 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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