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Simplifying 5x + -3(x + -7) = 12 + 3x Reorder the terms: 5x + -3(-7 + x) = 12 + 3x 5x + (-7 * -3 + x * -3) = 12 + 3x 5x + (21 + -3x) = 12 + 3x Reorder the terms: 21 + 5x + -3x = 12 + 3x Combine like terms: 5x + -3x = 2x 21 + 2x = 12 + 3x Solving 21 + 2x = 12 + 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. 21 + 2x + -3x = 12 + 3x + -3x Combine like terms: 2x + -3x = -1x 21 + -1x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 21 + -1x = 12 + 0 21 + -1x = 12 Add '-21' to each side of the equation. 21 + -21 + -1x = 12 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = 12 + -21 -1x = 12 + -21 Combine like terms: 12 + -21 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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