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Simplifying 3(2x + -8 + 15x) = 15(18x + -4) Reorder the terms: 3(-8 + 2x + 15x) = 15(18x + -4) Combine like terms: 2x + 15x = 17x 3(-8 + 17x) = 15(18x + -4) (-8 * 3 + 17x * 3) = 15(18x + -4) (-24 + 51x) = 15(18x + -4) Reorder the terms: -24 + 51x = 15(-4 + 18x) -24 + 51x = (-4 * 15 + 18x * 15) -24 + 51x = (-60 + 270x) Solving -24 + 51x = -60 + 270x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-270x' to each side of the equation. -24 + 51x + -270x = -60 + 270x + -270x Combine like terms: 51x + -270x = -219x -24 + -219x = -60 + 270x + -270x Combine like terms: 270x + -270x = 0 -24 + -219x = -60 + 0 -24 + -219x = -60 Add '24' to each side of the equation. -24 + 24 + -219x = -60 + 24 Combine like terms: -24 + 24 = 0 0 + -219x = -60 + 24 -219x = -60 + 24 Combine like terms: -60 + 24 = -36 -219x = -36 Divide each side by '-219'. x = 0.1643835616 Simplifying x = 0.1643835616
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