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Simplifying 2(3x + -5) = 4(x + -3) Reorder the terms: 2(-5 + 3x) = 4(x + -3) (-5 * 2 + 3x * 2) = 4(x + -3) (-10 + 6x) = 4(x + -3) Reorder the terms: -10 + 6x = 4(-3 + x) -10 + 6x = (-3 * 4 + x * 4) -10 + 6x = (-12 + 4x) Solving -10 + 6x = -12 + 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. -10 + 6x + -4x = -12 + 4x + -4x Combine like terms: 6x + -4x = 2x -10 + 2x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + 2x = -12 + 0 -10 + 2x = -12 Add '10' to each side of the equation. -10 + 10 + 2x = -12 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = -12 + 10 2x = -12 + 10 Combine like terms: -12 + 10 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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