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Simplifying 3x + -5 = 2(4x + -9) Reorder the terms: -5 + 3x = 2(4x + -9) Reorder the terms: -5 + 3x = 2(-9 + 4x) -5 + 3x = (-9 * 2 + 4x * 2) -5 + 3x = (-18 + 8x) Solving -5 + 3x = -18 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -5 + 3x + -8x = -18 + 8x + -8x Combine like terms: 3x + -8x = -5x -5 + -5x = -18 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + -5x = -18 + 0 -5 + -5x = -18 Add '5' to each side of the equation. -5 + 5 + -5x = -18 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = -18 + 5 -5x = -18 + 5 Combine like terms: -18 + 5 = -13 -5x = -13 Divide each side by '-5'. x = 2.6 Simplifying x = 2.6
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