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Simplifying 5x + -12 = 2(4x + -3) Reorder the terms: -12 + 5x = 2(4x + -3) Reorder the terms: -12 + 5x = 2(-3 + 4x) -12 + 5x = (-3 * 2 + 4x * 2) -12 + 5x = (-6 + 8x) Solving -12 + 5x = -6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -12 + 5x + -8x = -6 + 8x + -8x Combine like terms: 5x + -8x = -3x -12 + -3x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + -3x = -6 + 0 -12 + -3x = -6 Add '12' to each side of the equation. -12 + 12 + -3x = -6 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = -6 + 12 -3x = -6 + 12 Combine like terms: -6 + 12 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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