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Simplifying 5x + -3(2x + -3) = 4(x + -2) Reorder the terms: 5x + -3(-3 + 2x) = 4(x + -2) 5x + (-3 * -3 + 2x * -3) = 4(x + -2) 5x + (9 + -6x) = 4(x + -2) Reorder the terms: 9 + 5x + -6x = 4(x + -2) Combine like terms: 5x + -6x = -1x 9 + -1x = 4(x + -2) Reorder the terms: 9 + -1x = 4(-2 + x) 9 + -1x = (-2 * 4 + x * 4) 9 + -1x = (-8 + 4x) Solving 9 + -1x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 9 + -1x + -4x = -8 + 4x + -4x Combine like terms: -1x + -4x = -5x 9 + -5x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + -5x = -8 + 0 9 + -5x = -8 Add '-9' to each side of the equation. 9 + -9 + -5x = -8 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = -8 + -9 -5x = -8 + -9 Combine like terms: -8 + -9 = -17 -5x = -17 Divide each side by '-5'. x = 3.4 Simplifying x = 3.4
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