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Simplifying 3(2x + -7) + -2 = 3(x + -5) + -4 Reorder the terms: 3(-7 + 2x) + -2 = 3(x + -5) + -4 (-7 * 3 + 2x * 3) + -2 = 3(x + -5) + -4 (-21 + 6x) + -2 = 3(x + -5) + -4 Reorder the terms: -21 + -2 + 6x = 3(x + -5) + -4 Combine like terms: -21 + -2 = -23 -23 + 6x = 3(x + -5) + -4 Reorder the terms: -23 + 6x = 3(-5 + x) + -4 -23 + 6x = (-5 * 3 + x * 3) + -4 -23 + 6x = (-15 + 3x) + -4 Reorder the terms: -23 + 6x = -15 + -4 + 3x Combine like terms: -15 + -4 = -19 -23 + 6x = -19 + 3x Solving -23 + 6x = -19 + 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 = -19 + 3x + -3x Combine like terms: 6x + -3x = 3x -23 + 3x = -19 + 3x + -3x Combine like terms: 3x + -3x = 0 -23 + 3x = -19 + 0 -23 + 3x = -19 Add '23' to each side of the equation. -23 + 23 + 3x = -19 + 23 Combine like terms: -23 + 23 = 0 0 + 3x = -19 + 23 3x = -19 + 23 Combine like terms: -19 + 23 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333
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