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Simplifying 12x + -3 = 90 + 3(x + -7) Reorder the terms: -3 + 12x = 90 + 3(x + -7) Reorder the terms: -3 + 12x = 90 + 3(-7 + x) -3 + 12x = 90 + (-7 * 3 + x * 3) -3 + 12x = 90 + (-21 + 3x) Combine like terms: 90 + -21 = 69 -3 + 12x = 69 + 3x Solving -3 + 12x = 69 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -3 + 12x + -3x = 69 + 3x + -3x Combine like terms: 12x + -3x = 9x -3 + 9x = 69 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + 9x = 69 + 0 -3 + 9x = 69 Add '3' to each side of the equation. -3 + 3 + 9x = 69 + 3 Combine like terms: -3 + 3 = 0 0 + 9x = 69 + 3 9x = 69 + 3 Combine like terms: 69 + 3 = 72 9x = 72 Divide each side by '9'. x = 8 Simplifying x = 8
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