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Simplifying 3(2x + -7) + -2 = 3(x + -4) + -5 Reorder the terms: 3(-7 + 2x) + -2 = 3(x + -4) + -5 (-7 * 3 + 2x * 3) + -2 = 3(x + -4) + -5 (-21 + 6x) + -2 = 3(x + -4) + -5 Reorder the terms: -21 + -2 + 6x = 3(x + -4) + -5 Combine like terms: -21 + -2 = -23 -23 + 6x = 3(x + -4) + -5 Reorder the terms: -23 + 6x = 3(-4 + x) + -5 -23 + 6x = (-4 * 3 + x * 3) + -5 -23 + 6x = (-12 + 3x) + -5 Reorder the terms: -23 + 6x = -12 + -5 + 3x Combine like terms: -12 + -5 = -17 -23 + 6x = -17 + 3x Solving -23 + 6x = -17 + 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. -23 + 6x + -3x = -17 + 3x + -3x Combine like terms: 6x + -3x = 3x -23 + 3x = -17 + 3x + -3x Combine like terms: 3x + -3x = 0 -23 + 3x = -17 + 0 -23 + 3x = -17 Add '23' to each side of the equation. -23 + 23 + 3x = -17 + 23 Combine like terms: -23 + 23 = 0 0 + 3x = -17 + 23 3x = -17 + 23 Combine like terms: -17 + 23 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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