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Simplifying 3x + 3(-6x + -17) = -156 Reorder the terms: 3x + 3(-17 + -6x) = -156 3x + (-17 * 3 + -6x * 3) = -156 3x + (-51 + -18x) = -156 Reorder the terms: -51 + 3x + -18x = -156 Combine like terms: 3x + -18x = -15x -51 + -15x = -156 Solving -51 + -15x = -156 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + -15x = -156 + 51 Combine like terms: -51 + 51 = 0 0 + -15x = -156 + 51 -15x = -156 + 51 Combine like terms: -156 + 51 = -105 -15x = -105 Divide each side by '-15'. x = 7 Simplifying x = 7
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