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Simplifying 5 + -2x + (12x + -6) = 5 + (12x + -21) Reorder the terms: 5 + -2x + (-6 + 12x) = 5 + (12x + -21) Remove parenthesis around (-6 + 12x) 5 + -2x + -6 + 12x = 5 + (12x + -21) Reorder the terms: 5 + -6 + -2x + 12x = 5 + (12x + -21) Combine like terms: 5 + -6 = -1 -1 + -2x + 12x = 5 + (12x + -21) Combine like terms: -2x + 12x = 10x -1 + 10x = 5 + (12x + -21) Reorder the terms: -1 + 10x = 5 + (-21 + 12x) Remove parenthesis around (-21 + 12x) -1 + 10x = 5 + -21 + 12x Combine like terms: 5 + -21 = -16 -1 + 10x = -16 + 12x Solving -1 + 10x = -16 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -1 + 10x + -12x = -16 + 12x + -12x Combine like terms: 10x + -12x = -2x -1 + -2x = -16 + 12x + -12x Combine like terms: 12x + -12x = 0 -1 + -2x = -16 + 0 -1 + -2x = -16 Add '1' to each side of the equation. -1 + 1 + -2x = -16 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = -16 + 1 -2x = -16 + 1 Combine like terms: -16 + 1 = -15 -2x = -15 Divide each side by '-2'. x = 7.5 Simplifying x = 7.5
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