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Simplifying 5x + 3(3x + -6) = 3(10x + -5) Reorder the terms: 5x + 3(-6 + 3x) = 3(10x + -5) 5x + (-6 * 3 + 3x * 3) = 3(10x + -5) 5x + (-18 + 9x) = 3(10x + -5) Reorder the terms: -18 + 5x + 9x = 3(10x + -5) Combine like terms: 5x + 9x = 14x -18 + 14x = 3(10x + -5) Reorder the terms: -18 + 14x = 3(-5 + 10x) -18 + 14x = (-5 * 3 + 10x * 3) -18 + 14x = (-15 + 30x) Solving -18 + 14x = -15 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -18 + 14x + -30x = -15 + 30x + -30x Combine like terms: 14x + -30x = -16x -18 + -16x = -15 + 30x + -30x Combine like terms: 30x + -30x = 0 -18 + -16x = -15 + 0 -18 + -16x = -15 Add '18' to each side of the equation. -18 + 18 + -16x = -15 + 18 Combine like terms: -18 + 18 = 0 0 + -16x = -15 + 18 -16x = -15 + 18 Combine like terms: -15 + 18 = 3 -16x = 3 Divide each side by '-16'. x = -0.1875 Simplifying x = -0.1875
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