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Simplifying -153 = -6x + 3(-4x + -9) Reorder the terms: -153 = -6x + 3(-9 + -4x) -153 = -6x + (-9 * 3 + -4x * 3) -153 = -6x + (-27 + -12x) Reorder the terms: -153 = -27 + -6x + -12x Combine like terms: -6x + -12x = -18x -153 = -27 + -18x Solving -153 = -27 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -153 + 18x = -27 + -18x + 18x Combine like terms: -18x + 18x = 0 -153 + 18x = -27 + 0 -153 + 18x = -27 Add '153' to each side of the equation. -153 + 153 + 18x = -27 + 153 Combine like terms: -153 + 153 = 0 0 + 18x = -27 + 153 18x = -27 + 153 Combine like terms: -27 + 153 = 126 18x = 126 Divide each side by '18'. x = 7 Simplifying x = 7
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