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