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Simplifying 2(3x + -4) + -3 = 3x + -38 Reorder the terms: 2(-4 + 3x) + -3 = 3x + -38 (-4 * 2 + 3x * 2) + -3 = 3x + -38 (-8 + 6x) + -3 = 3x + -38 Reorder the terms: -8 + -3 + 6x = 3x + -38 Combine like terms: -8 + -3 = -11 -11 + 6x = 3x + -38 Reorder the terms: -11 + 6x = -38 + 3x Solving -11 + 6x = -38 + 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 = -38 + 3x + -3x Combine like terms: 6x + -3x = 3x -11 + 3x = -38 + 3x + -3x Combine like terms: 3x + -3x = 0 -11 + 3x = -38 + 0 -11 + 3x = -38 Add '11' to each side of the equation. -11 + 11 + 3x = -38 + 11 Combine like terms: -11 + 11 = 0 0 + 3x = -38 + 11 3x = -38 + 11 Combine like terms: -38 + 11 = -27 3x = -27 Divide each side by '3'. x = -9 Simplifying x = -9
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