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Simplifying 3(2x + -3) + -12 = 4(x + -5) Reorder the terms: 3(-3 + 2x) + -12 = 4(x + -5) (-3 * 3 + 2x * 3) + -12 = 4(x + -5) (-9 + 6x) + -12 = 4(x + -5) Reorder the terms: -9 + -12 + 6x = 4(x + -5) Combine like terms: -9 + -12 = -21 -21 + 6x = 4(x + -5) Reorder the terms: -21 + 6x = 4(-5 + x) -21 + 6x = (-5 * 4 + x * 4) -21 + 6x = (-20 + 4x) Solving -21 + 6x = -20 + 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. -21 + 6x + -4x = -20 + 4x + -4x Combine like terms: 6x + -4x = 2x -21 + 2x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 -21 + 2x = -20 + 0 -21 + 2x = -20 Add '21' to each side of the equation. -21 + 21 + 2x = -20 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = -20 + 21 2x = -20 + 21 Combine like terms: -20 + 21 = 1 2x = 1 Divide each side by '2'. x = 0.5 Simplifying x = 0.5
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