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Simplifying 3(2x + -5) + -12 = -4(x + -2) Reorder the terms: 3(-5 + 2x) + -12 = -4(x + -2) (-5 * 3 + 2x * 3) + -12 = -4(x + -2) (-15 + 6x) + -12 = -4(x + -2) Reorder the terms: -15 + -12 + 6x = -4(x + -2) Combine like terms: -15 + -12 = -27 -27 + 6x = -4(x + -2) Reorder the terms: -27 + 6x = -4(-2 + x) -27 + 6x = (-2 * -4 + x * -4) -27 + 6x = (8 + -4x) Solving -27 + 6x = 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. -27 + 6x + 4x = 8 + -4x + 4x Combine like terms: 6x + 4x = 10x -27 + 10x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 -27 + 10x = 8 + 0 -27 + 10x = 8 Add '27' to each side of the equation. -27 + 27 + 10x = 8 + 27 Combine like terms: -27 + 27 = 0 0 + 10x = 8 + 27 10x = 8 + 27 Combine like terms: 8 + 27 = 35 10x = 35 Divide each side by '10'. x = 3.5 Simplifying x = 3.5
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