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Simplifying 38 + 2x = -2(3x + 7) + 4 Reorder the terms: 38 + 2x = -2(7 + 3x) + 4 38 + 2x = (7 * -2 + 3x * -2) + 4 38 + 2x = (-14 + -6x) + 4 Reorder the terms: 38 + 2x = -14 + 4 + -6x Combine like terms: -14 + 4 = -10 38 + 2x = -10 + -6x Solving 38 + 2x = -10 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 38 + 2x + 6x = -10 + -6x + 6x Combine like terms: 2x + 6x = 8x 38 + 8x = -10 + -6x + 6x Combine like terms: -6x + 6x = 0 38 + 8x = -10 + 0 38 + 8x = -10 Add '-38' to each side of the equation. 38 + -38 + 8x = -10 + -38 Combine like terms: 38 + -38 = 0 0 + 8x = -10 + -38 8x = -10 + -38 Combine like terms: -10 + -38 = -48 8x = -48 Divide each side by '8'. x = -6 Simplifying x = -6
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