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Simplifying 3(10x + -5) = 2(-9x + -18) Reorder the terms: 3(-5 + 10x) = 2(-9x + -18) (-5 * 3 + 10x * 3) = 2(-9x + -18) (-15 + 30x) = 2(-9x + -18) Reorder the terms: -15 + 30x = 2(-18 + -9x) -15 + 30x = (-18 * 2 + -9x * 2) -15 + 30x = (-36 + -18x) Solving -15 + 30x = -36 + -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. -15 + 30x + 18x = -36 + -18x + 18x Combine like terms: 30x + 18x = 48x -15 + 48x = -36 + -18x + 18x Combine like terms: -18x + 18x = 0 -15 + 48x = -36 + 0 -15 + 48x = -36 Add '15' to each side of the equation. -15 + 15 + 48x = -36 + 15 Combine like terms: -15 + 15 = 0 0 + 48x = -36 + 15 48x = -36 + 15 Combine like terms: -36 + 15 = -21 48x = -21 Divide each side by '48'. x = -0.4375 Simplifying x = -0.4375
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