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Simplifying 3(3x + -7) + -5(x + 3) = x + 12 Reorder the terms: 3(-7 + 3x) + -5(x + 3) = x + 12 (-7 * 3 + 3x * 3) + -5(x + 3) = x + 12 (-21 + 9x) + -5(x + 3) = x + 12 Reorder the terms: -21 + 9x + -5(3 + x) = x + 12 -21 + 9x + (3 * -5 + x * -5) = x + 12 -21 + 9x + (-15 + -5x) = x + 12 Reorder the terms: -21 + -15 + 9x + -5x = x + 12 Combine like terms: -21 + -15 = -36 -36 + 9x + -5x = x + 12 Combine like terms: 9x + -5x = 4x -36 + 4x = x + 12 Reorder the terms: -36 + 4x = 12 + x Solving -36 + 4x = 12 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -36 + 4x + -1x = 12 + x + -1x Combine like terms: 4x + -1x = 3x -36 + 3x = 12 + x + -1x Combine like terms: x + -1x = 0 -36 + 3x = 12 + 0 -36 + 3x = 12 Add '36' to each side of the equation. -36 + 36 + 3x = 12 + 36 Combine like terms: -36 + 36 = 0 0 + 3x = 12 + 36 3x = 12 + 36 Combine like terms: 12 + 36 = 48 3x = 48 Divide each side by '3'. x = 16 Simplifying x = 16
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