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Simplifying 3(2x + -5) = 4(2x + -9) Reorder the terms: 3(-5 + 2x) = 4(2x + -9) (-5 * 3 + 2x * 3) = 4(2x + -9) (-15 + 6x) = 4(2x + -9) Reorder the terms: -15 + 6x = 4(-9 + 2x) -15 + 6x = (-9 * 4 + 2x * 4) -15 + 6x = (-36 + 8x) Solving -15 + 6x = -36 + 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. -15 + 6x + -8x = -36 + 8x + -8x Combine like terms: 6x + -8x = -2x -15 + -2x = -36 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + -2x = -36 + 0 -15 + -2x = -36 Add '15' to each side of the equation. -15 + 15 + -2x = -36 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = -36 + 15 -2x = -36 + 15 Combine like terms: -36 + 15 = -21 -2x = -21 Divide each side by '-2'. x = 10.5 Simplifying x = 10.5
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