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Simplifying 2x + -3(4x + -3) = 5(3x + -3) + 4 Reorder the terms: 2x + -3(-3 + 4x) = 5(3x + -3) + 4 2x + (-3 * -3 + 4x * -3) = 5(3x + -3) + 4 2x + (9 + -12x) = 5(3x + -3) + 4 Reorder the terms: 9 + 2x + -12x = 5(3x + -3) + 4 Combine like terms: 2x + -12x = -10x 9 + -10x = 5(3x + -3) + 4 Reorder the terms: 9 + -10x = 5(-3 + 3x) + 4 9 + -10x = (-3 * 5 + 3x * 5) + 4 9 + -10x = (-15 + 15x) + 4 Reorder the terms: 9 + -10x = -15 + 4 + 15x Combine like terms: -15 + 4 = -11 9 + -10x = -11 + 15x Solving 9 + -10x = -11 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 9 + -10x + -15x = -11 + 15x + -15x Combine like terms: -10x + -15x = -25x 9 + -25x = -11 + 15x + -15x Combine like terms: 15x + -15x = 0 9 + -25x = -11 + 0 9 + -25x = -11 Add '-9' to each side of the equation. 9 + -9 + -25x = -11 + -9 Combine like terms: 9 + -9 = 0 0 + -25x = -11 + -9 -25x = -11 + -9 Combine like terms: -11 + -9 = -20 -25x = -20 Divide each side by '-25'. x = 0.8 Simplifying x = 0.8
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