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Simplifying -147 = -3x + 6(-1x + -17) Reorder the terms: -147 = -3x + 6(-17 + -1x) -147 = -3x + (-17 * 6 + -1x * 6) -147 = -3x + (-102 + -6x) Reorder the terms: -147 = -102 + -3x + -6x Combine like terms: -3x + -6x = -9x -147 = -102 + -9x Solving -147 = -102 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -147 + 9x = -102 + -9x + 9x Combine like terms: -9x + 9x = 0 -147 + 9x = -102 + 0 -147 + 9x = -102 Add '147' to each side of the equation. -147 + 147 + 9x = -102 + 147 Combine like terms: -147 + 147 = 0 0 + 9x = -102 + 147 9x = -102 + 147 Combine like terms: -102 + 147 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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