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Simplifying 3(2x + -7) + -3 = 3(x + -5) + 6 Reorder the terms: 3(-7 + 2x) + -3 = 3(x + -5) + 6 (-7 * 3 + 2x * 3) + -3 = 3(x + -5) + 6 (-21 + 6x) + -3 = 3(x + -5) + 6 Reorder the terms: -21 + -3 + 6x = 3(x + -5) + 6 Combine like terms: -21 + -3 = -24 -24 + 6x = 3(x + -5) + 6 Reorder the terms: -24 + 6x = 3(-5 + x) + 6 -24 + 6x = (-5 * 3 + x * 3) + 6 -24 + 6x = (-15 + 3x) + 6 Reorder the terms: -24 + 6x = -15 + 6 + 3x Combine like terms: -15 + 6 = -9 -24 + 6x = -9 + 3x Solving -24 + 6x = -9 + 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. -24 + 6x + -3x = -9 + 3x + -3x Combine like terms: 6x + -3x = 3x -24 + 3x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 -24 + 3x = -9 + 0 -24 + 3x = -9 Add '24' to each side of the equation. -24 + 24 + 3x = -9 + 24 Combine like terms: -24 + 24 = 0 0 + 3x = -9 + 24 3x = -9 + 24 Combine like terms: -9 + 24 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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