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Simplifying 3(5x + -3) = -4(2x + -8) Reorder the terms: 3(-3 + 5x) = -4(2x + -8) (-3 * 3 + 5x * 3) = -4(2x + -8) (-9 + 15x) = -4(2x + -8) Reorder the terms: -9 + 15x = -4(-8 + 2x) -9 + 15x = (-8 * -4 + 2x * -4) -9 + 15x = (32 + -8x) Solving -9 + 15x = 32 + -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. -9 + 15x + 8x = 32 + -8x + 8x Combine like terms: 15x + 8x = 23x -9 + 23x = 32 + -8x + 8x Combine like terms: -8x + 8x = 0 -9 + 23x = 32 + 0 -9 + 23x = 32 Add '9' to each side of the equation. -9 + 9 + 23x = 32 + 9 Combine like terms: -9 + 9 = 0 0 + 23x = 32 + 9 23x = 32 + 9 Combine like terms: 32 + 9 = 41 23x = 41 Divide each side by '23'. x = 1.782608696 Simplifying x = 1.782608696
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