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Simplifying 3(2x + -3) + -2 = 3(x + -2) + 19 Reorder the terms: 3(-3 + 2x) + -2 = 3(x + -2) + 19 (-3 * 3 + 2x * 3) + -2 = 3(x + -2) + 19 (-9 + 6x) + -2 = 3(x + -2) + 19 Reorder the terms: -9 + -2 + 6x = 3(x + -2) + 19 Combine like terms: -9 + -2 = -11 -11 + 6x = 3(x + -2) + 19 Reorder the terms: -11 + 6x = 3(-2 + x) + 19 -11 + 6x = (-2 * 3 + x * 3) + 19 -11 + 6x = (-6 + 3x) + 19 Reorder the terms: -11 + 6x = -6 + 19 + 3x Combine like terms: -6 + 19 = 13 -11 + 6x = 13 + 3x Solving -11 + 6x = 13 + 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. -11 + 6x + -3x = 13 + 3x + -3x Combine like terms: 6x + -3x = 3x -11 + 3x = 13 + 3x + -3x Combine like terms: 3x + -3x = 0 -11 + 3x = 13 + 0 -11 + 3x = 13 Add '11' to each side of the equation. -11 + 11 + 3x = 13 + 11 Combine like terms: -11 + 11 = 0 0 + 3x = 13 + 11 3x = 13 + 11 Combine like terms: 13 + 11 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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