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Simplifying 5x + 5 + -12x = -6x + 2x + -3 Reorder the terms: 5 + 5x + -12x = -6x + 2x + -3 Combine like terms: 5x + -12x = -7x 5 + -7x = -6x + 2x + -3 Reorder the terms: 5 + -7x = -3 + -6x + 2x Combine like terms: -6x + 2x = -4x 5 + -7x = -3 + -4x Solving 5 + -7x = -3 + -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. 5 + -7x + 4x = -3 + -4x + 4x Combine like terms: -7x + 4x = -3x 5 + -3x = -3 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + -3x = -3 + 0 5 + -3x = -3 Add '-5' to each side of the equation. 5 + -5 + -3x = -3 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = -3 + -5 -3x = -3 + -5 Combine like terms: -3 + -5 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667
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