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Simplifying 5x + -3(6x + 14) = -172 Reorder the terms: 5x + -3(14 + 6x) = -172 5x + (14 * -3 + 6x * -3) = -172 5x + (-42 + -18x) = -172 Reorder the terms: -42 + 5x + -18x = -172 Combine like terms: 5x + -18x = -13x -42 + -13x = -172 Solving -42 + -13x = -172 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -13x = -172 + 42 Combine like terms: -42 + 42 = 0 0 + -13x = -172 + 42 -13x = -172 + 42 Combine like terms: -172 + 42 = -130 -13x = -130 Divide each side by '-13'. x = 10 Simplifying x = 10
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