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Simplifying 3 + -2(4x + -3) = x + -3(2x + 5) Reorder the terms: 3 + -2(-3 + 4x) = x + -3(2x + 5) 3 + (-3 * -2 + 4x * -2) = x + -3(2x + 5) 3 + (6 + -8x) = x + -3(2x + 5) Combine like terms: 3 + 6 = 9 9 + -8x = x + -3(2x + 5) Reorder the terms: 9 + -8x = x + -3(5 + 2x) 9 + -8x = x + (5 * -3 + 2x * -3) 9 + -8x = x + (-15 + -6x) Reorder the terms: 9 + -8x = -15 + x + -6x Combine like terms: x + -6x = -5x 9 + -8x = -15 + -5x Solving 9 + -8x = -15 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 9 + -8x + 5x = -15 + -5x + 5x Combine like terms: -8x + 5x = -3x 9 + -3x = -15 + -5x + 5x Combine like terms: -5x + 5x = 0 9 + -3x = -15 + 0 9 + -3x = -15 Add '-9' to each side of the equation. 9 + -9 + -3x = -15 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = -15 + -9 -3x = -15 + -9 Combine like terms: -15 + -9 = -24 -3x = -24 Divide each side by '-3'. x = 8 Simplifying x = 8
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