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Simplifying 3 + 3(x + -5) = 8 + -2(x + -7) Reorder the terms: 3 + 3(-5 + x) = 8 + -2(x + -7) 3 + (-5 * 3 + x * 3) = 8 + -2(x + -7) 3 + (-15 + 3x) = 8 + -2(x + -7) Combine like terms: 3 + -15 = -12 -12 + 3x = 8 + -2(x + -7) Reorder the terms: -12 + 3x = 8 + -2(-7 + x) -12 + 3x = 8 + (-7 * -2 + x * -2) -12 + 3x = 8 + (14 + -2x) Combine like terms: 8 + 14 = 22 -12 + 3x = 22 + -2x Solving -12 + 3x = 22 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -12 + 3x + 2x = 22 + -2x + 2x Combine like terms: 3x + 2x = 5x -12 + 5x = 22 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 5x = 22 + 0 -12 + 5x = 22 Add '12' to each side of the equation. -12 + 12 + 5x = 22 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = 22 + 12 5x = 22 + 12 Combine like terms: 22 + 12 = 34 5x = 34 Divide each side by '5'. x = 6.8 Simplifying x = 6.8
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